How do you use elimination to solve a system of equations?

Step 1;
Choose a variable to eliminate
Step 2; Multiply the first equation with the co efficient of variable you want to eliminate in equation;
Step 3:
Repeat the same for equation 2;
Step 4;
Add up or subtract the equations to eliminate the variable;
solve for remaining variable;
Replace the constant from above step in one of the original equations and solve appropriately.