Determine the best method to solve the system of equations: 5x-2y=4 and 2x+2y=8

Question

(A) substitution

(B) elimination using addition

(C) elimination using subtraction

(D) elimination using subtraction

Answer 1

Hello Hime,

For this system, I would choose elimination by addition. The reason for this is the fact that the first equation contains a -2y and the second equation contains a +2y. If I add these two equations together, then the "y" terms are eliminated.

The sum of the equations is then 7x = 12. Solve for x, and then substitute that value into either equation to solve for y.

Hope this helps! :)