x-y=11 2x+3y=2
Use substitution method.
x - y = 11
2x + 3y = 2
x - y = 11
x - y + y = 11 + y
x = 11 + y
2x + 3y = 2
2(11 + y) + 3y = 2
22 + 2y + 3y = 2
22 + 5y = 2
22 + 5y - 22 = 2 - 22
5y = -20
5y / 5 = -20 / 5
y = -4
x - y = 11
x - (-4) = 11
x + 4 = 11
x + 4 - 4 = 11 - 4
x = 7
Check.
2x + 3y = 2
2(7) + 3(-4) = 2
14 - 12 = 2
2 = 2
Answer: x = 7, y = -4