2x + 4y = 12
-2x + 3y = 26
Add the two equations, and you get:
2x + (-2x) + 4y + 3y = 12 + 26
4y + 3y = 12 + 26
7y = 38
y = 38/7
Plug y = 38/7 and solve for x.
2x + 4(38/7) = 12
2x + 152/7 = 12
2x = 12 - 152/7
2x = 84/7 - 152/7
2x = (84 - 152)/7
2x = -68/7
x = -68/7 * 1/2
x = -34/7
x = -34/7
y = 38/7
x = -4 6/7
y = 5 3/7
The solution is (-4 6/7, 5 3/7) OR (-34/7, 38/7).
Both the answers are correct. It's just that in one answer, the fraction is in mixed form, and the other answer has it as an improper fraction.
