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Solving Systems of Linear Equations using Elimination

Solving Systems of Linear Equations using Elimination 1.8 - Solution

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a
Here we want to solve the system using the elimination method. It is then necessary that of the variable terms is eliminated when one equation is added to or subtracted from the other equation. Here if we subtract Equation (II) from Equation (I) the -terms in the system will eliminate each other. We will find by solving the resulting equation. To find we can substitute for in any of the original equations. Let's use Equation (I).
The solution to the system of equations is
b
We have been asked to solve the following system of equations using the elimination method. To solve a system using the elimination method, one of the variable terms needs to be eliminated when one equation is added to or subtracted from the other equation. For this to happen we need to manipulate one or both equations. If we multiply Equation (I) by the -terms will have opposite coefficients.
Now we have the following system. If we add the equations we will eliminate the -terms. By solving the resulting equation we find Let's go on and substitute for in Equation (I) and solve the resulting equation.
Solve for
The solution of the system of equations is