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# Topic: Simultaneous equations

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 Simultaneous equations - Wikipedia, the free encyclopedia In mathematics, simultaneous equations, or systems of equations, are a set of equations where variables are shared. A common technique is the substitution method: try to solve one of the equations for one of the variables and substitute the result into the other equations, thereby reducing the number of equations and the number of variables by 1. Simultaneous equation models are a form of statistical model in the form of a set of linear simultaneous equations. en.wikipedia.org /wiki/Simultaneous_equations   (471 words)

 simultaneous equations - Hutchinson encyclopedia article about simultaneous equations Linear simultaneous equations can be solved by using algebraic manipulation to eliminate one of the variables, coordinate geometry, or matrices (see matrix). Another method is by plotting the equations on a graph, because the two equations represent straight lines in coordinate geometry and the coordinates of their point of intersection are the values of x and y that are true for both of them. If the equations represent either two parallel lines or the same line, then there will be no solutions or an infinity of solutions, respectively. encyclopedia.farlex.com /simultaneous+equations   (271 words)

 Simultaneous equations   (Site not responding. Last check: 2007-11-01) In mathematics, simultaneous equations are a set of equation s where variables are shared. A common technique is the substitution method : try to solve one of the equations for one of the variables and substitute the result into the other equations, thereby reducing the number of equations and the number of variables by 1. Simultaneous equation model s are a form of statistical model in the form of a set of linear simultaneous equations. www.serebella.com /encyclopedia/article-Simultaneous_equations.html   (1681 words)

 Revision Centre - GCSE Maths - Algebra - Simultaneous Equations "Simultaneous equations" are two or more equations which have two or more unknowns to be found. The method of elimination involves manipulating the two equations so that one can be added/ subtracted from the other to leave us with an equation with only one unknown. Simultaneous equation can also be solved by graphical methods. www.revisioncentre.co.uk /gcse/maths/simultaneous_equations.html   (373 words)

 ScholarNET | Online Learning Simultaneous Equations - 3D equations of simultaneous equations with three variables. Simultaneous equations are sets of two or more equations with solutions which must be correct for the variables in each equation. Simultaneous equations can contain any number of variables but are only easily solvable if there are the same number of variables as there are equations. www.scholarnet.co.nz /demo/smol/shell.php?content=simultaneous.html   (697 words)

 Solving Equations using the Graphing Culculator When solving two simultaneous equations graphically the solutions will be given by the intersection of the graphs if the equations have a solution. Students should be able to solve two simultaneous equations, one being quadratic and the other being linear. Students should be able to solve two simultaneous equations one being linear and the other being non-linear. www.lessonplanspage.com /printables/PMathCISolvingEquationsUsingGraphingCalculator812.htm   (1973 words)

 Simultaneous Equations For example, x + y = 4 and x - 2y = 1 are simultaneous equations which are true for x = 3 and y = 1 (these satisfy both equations). When there are 3 unknowns, 3 equations are needed- in fact in order to solve simultaneous equations, in general there must be as many different equations as there are unknowns. You can solve simultaneous equations by drawing graphs of the two equations you wish to solve. www.mathsrevision.net /alevel/pure/simultaneous_equations.php   (389 words)

 Simultaneous equations Simultaneous equations are two or more equations which are true for two or more unknowns. For example, x + y = 4 and x - 2y = 1 are simultaneous equations which are true for x = 3 and y = 1. The x and y values of where the graphs intersect are the solutions to the equations. www.projectalevel.co.uk /maths/simultaneous.htm   (327 words)

 Simultaneous equations   (Site not responding. Last check: 2007-11-01) A common technique is the substitutionmethod: try to solve one of the equations for one of the variables and substitute the result into the other equations, thereby reducing the number of equations and the number ofvariables by 1. Continue until you reach a single equation with a single variable, which (hopefully) can be solved; backsubstitution then yields the values for the other variables. Simultaneous equation models are a form of statistical model in the form of a set of linear simultaneousequations. www.therfcc.org /simultaneous-equations-70707.html   (327 words)

 Fixing Simultaneous Equations Although active, initial, and data equations all result in the same form of error, the true source and solution of the errors might differ. Simultaneous data equations are generally the result of typographical errors, although they can bear some resemblance to simultaneous active equations. This happens because when a simultaneous equation is first identified, the variables involved will not be searched further until the problem has been corrected. www.vensim.com /documentation/html/22255.htm   (259 words)

 #1 Site For Learning Mathematics This means that whatever operations are done on the left hand side of the equation, the same operation has to also be done on the right hand side of the equation. Equations that have to be solved simultaneously (at the same time) are called simultaneous equations. In general, there is a rule that if there are two unknown variables in an equation, you need another equation with the same variables, with which we will be able to find the values of the two variables; if there are three variables, you need three simultaneous equations. home.att.net /~cat5a/sim_eq-I.htm   (481 words)

 Simultaneous equations   (Site not responding. Last check: 2007-11-01) A common technique is substitution method : try to solve one of the for one of the variables and substitute the result into the other equations reducing the number of equations and the of variables by 1. Continue until you a single equation with a single variable (hopefully) can be solved; back substitution then the values for the other variables. Systems of simultaneous linear equations are studied in linear algebra and can always be solved; one Gauss-Jordan elimination or the Cholesky decomposition. www.freeglossary.com /Simultaneous_equation   (435 words)

 Simultaneous Equations A pair of "Simultaneous equations" is two equations which are both true at the same time. This involves changing the two equations so that one can be added/ subtracted from the other to leave us with an equation with only one unknown (which we can solve). We can 'change' the equations by multiplying them through by a constant- as long as we multiply both sides of the equation by the same number it will remain true. www.mathsrevision.net /gcse/pages.php?page=3   (429 words)

 Simultaneous Equations Simultaneous equations are a set of equations which have more than one value which has to be found. At GCSE, it is unlikely that you will have more than two equations with 2 values (x and y) which need to be found. Rearrange one of the original equations to isolate a variable. www.gcseguide.co.uk /simultaneous_equations.htm   (262 words)

 Simultaneous Equations You are given 3 equations and 3 unknowns, and you are asked to find the point in 3 space that satisfies all three equations simultaneously. There are 3 planes, one for each equation, and most of the time they will intersect in a point, like the floor and two walls of a room. Realize that the second set of equations is a linear transformation, and its kernel, the points that map to zero, is a subspace. www.mathreference.com /la-det,simeq.html   (828 words)

 Simultaneous Equations   (Site not responding. Last check: 2007-11-01) Solving simultaneous equations depends on making one of the letters disappear.  To make the letter disappear, find a pair with the same number in front, then look at the signs in front of the numbers and then either add or subtract.  To decide whether to add or subtract, do the opposite of the normal rule Then substitute your result into either of the equations (1) or (2), whichever has the easiest numbers, and solve Sometimes, neither of the two letters will match.  In this case, either one or both equations need to be multiplied to get the numbers to match www.gazinotes.com /KS3-GCSE/AT3-Simultaneous%20Equations.htm   (166 words)

 Simultaneous linear equations - A complete course in algebra The solution to the simultaneous equations is their point of intersection. This method of solving simultaneous equations is called the method of addition. Solve one of the equations for one unknown in terms of the other. www.themathpage.com /alg/simultaneous-equations.htm   (365 words)

 Simultaneous Equations Simultaneous equations are a set of equations which have more than one unknown values. It may be better to use one method over the other for certain type of simultaneous equations question. Both methods are equally suited to the solution of this problem.In any case, the aim is to reduce the two unknowns to one through manipulation of both the equations. www.algebra-help.info /simultaneous-equations.php   (404 words)

 Serebella Contents Linear simultaneous equations---Line (heraldry)   (Site not responding. Last check: 2007-11-01) Mathematics A path through 2 or more points that shows no curvature, continues on infinitely and can also be broken down to a simple linear equation. A sentence of dialogue in a script or screenplay, or delivered by an actor or performer. It uses material from the Wiktionary page "Equation". www.serebella.com /encyclopedia/contains-251838-251885-Linear_simultaneous_equations-Line_(heraldry).html   (332 words)

 Solving Simultaneous Equations Mathematica TE to solve sets of simultaneous equations. Here is a list of two simultaneous equations to be solved for the variables Mathematica TE can also solve a large class of simultaneous polynomial equations. documents.wolfram.com /teachersedition/MathematicaBook/7.3.html   (177 words)

 #1 Site For Learning Mathematics To solve simultaneous equations having two variables, first use a few mathematical tricks to eliminate one variable. By putting various values of (x,y) in both the equations, plot on a graph the lines representing the two equations. Where the lines intersect, the co-ordinate of the point is the solution of the two given simultaneous equations. home.att.net /~cat5a/sim_eq-II.htm   (412 words)

 System of Linear Equations and Matrix Inversion Starting from left-upper corner, replace as many zeros, in the data-matrix with the coefficients of the unknown variables in the equations together with their right-hand-side values, as needed. Therefore, we have to rearrange the system of equation in such a way that any equation with zero X1 coefficient appear among the last set of equations. Notice that the coefficient of the variables X1 and X2 are matrix A in both systems of equations, however the RHS are two identity vectors in n=2 dimensional space. home.ubalt.edu /ntsbarsh/Business-stat/otherapplets/SysEq.htm   (690 words)

 Solving simultaneous equations - Chapter 4: ALGEBRA REFERENCE - Volume V - Reference   (Site not responding. Last check: 2007-11-01) The terms simultaneous equations and systems of equations refer to conditions where two or more unknown variables are related to each other through an equal number of equations. An option we have, then, is to add the corresponding sides of the equations together to form a new equation. As with substitution, you must use this technique to reduce the three-equation system of three variables down to two equations with two variables, then apply it again to obtain a single equation with one unknown variable. www.allaboutcircuits.com /vol_5/chpt_4/14.html   (1278 words)

 Technology Center of DuPage - Solving Systems of Equations The next step is to perform operations on one equation in the system to eliminate one variable and solve for the other. One way to solve this system of equations is to graph both equations (make sure to set y = equation) and observe the intersection of the lines that are plotted. Another method is to perform operations on one equation in the system to eliminate one variable and solve for the other. www.mste.uiuc.edu /dildine/tcd_files/systems.html   (710 words)

 GCSE Maths: Simultaneous Equations   (Site not responding. Last check: 2007-11-01) We have two different equations with two unknowns - this is enough information for us to solve them both (that is, find the values of x and y). We call these simultaneous equations because we use them at the same time. So the only correct solution for the two equations given at the top of the page is x = 5 and y = 20. www.gcse.com /maths/simultaneous.htm   (115 words)

 Solving Simultaneous Equations The simplest system of equations is one involving two linear equations with two unknowns. combine the two equations in such a way that one of the unknowns is eliminated. Solve the resulting equation for the value of the one remaining unknown. www.tpub.com /content/doe/h1014v1/css/h1014v1_146.htm   (228 words)

 Simultaneous equations   (Site not responding. Last check: 2007-11-01) As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. The site proves that it was Hertz who gave the correct form of Maxwell's equations, as well as that the Faraday's law of electromagnetic induction is in contradiction with Einstein's special relativity. Numerical analysis, partial differential equations, mechanics; the numerical solution of the equations of general relativity. www.omniknow.com /common/wiki.php?in=en&term=Simultaneous_equations   (1905 words)

 Jiskha Homework Help - Mathematics: Algebra: Describing Situations Now we can see that if x=3 and y=1, then both equations are satisfied, but if we try a different value that satisfies one equation (eg x=4, y =0.25), then we can see that this does NOT satisfy the second equation. If we put our values of x into the other equation, then we find that suddenly we’ve got one equation, which, while it might seem a little messy, is fairly straight forward to rearrange. One way of visualizing the simplification is to divide both sides of this equation by the same number. www.jiskha.com /cgi-bin/printer_friendly.cgi?request=/mathematics/algebra/simultaneous_equations.html   (725 words)

 Iterative Solutions to Active Simultaneous Equations The first, and simplest solution is to use the SIMULTANEOUS function which effectively tells Vensim to try running around the loop until nothing in the loop changes any more. These equations are aimed at the minute to minute and day to day response of people to slow dial tone responses, busy circuits and bad connections. At the initial time Vensim will initialize the variable using the second argument and then compute all the equations in the loop iteratively until the values of the loop variables no longer change significantly. www.vensim.com /documentation/html/22260.htm   (356 words)

 Simultaneous Equations by Substitution If two (or more) equations have the same variables and the same solutions then they are simultaneous equations. Choose the equation in which you want to isolate a variable. You will now have an equation in only one variable that will be solved in step 5. www.teacherschoice.com.au /Maths_Library/Algebra/Alg_9.htm   (627 words)

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