Solving a Linear System by Elimination

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.


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