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.