**Solving a Linear System by Elimination**

** **

* Step 1:- *Write both equations in standard form

*Ax*+

*By*=

*C*.

* Step 2:- *Make the coefficients of one pair of variable terms opposites.

Multiply one or both equations by appropriate numbers so that the sum of the coefficients of either the *x*– or *y*-terms is 0.

* Step 3:- *Add the new equations to eliminate a variable. The sum should be an equation with just one variable.

* Step 4:- *Solve the equation from Step 3 for the remaining variable.

* Step 5:- *Find the other value. Substitute the result of Step 4 into either of the original equations and solve for the other variable.

* Step 6:- *Check the solution in both of the original equations. Then write the solution set.