2x + y = 11 7x-4y = -14
2x + y = 11 → y = 11 - 2x (1)
7x-4y = -14 (2)
Substituring (1) into (2), we have
7x - 4(11 - 2x) = -14 simplify
7x - 44 + 8x = -14
15x - 44 = - 14 add 44 to both sides
15x = 30 divide both sides by 15
x = 2 and using (1) to find y, we have y = 11 - 2(2) = 11 - 4 = 7
