Answer:
(x, y) = (4, 5)
Step-by-step explanation:
given the 2 equations
x = 2y - 6 → (1)
y = - 3x + 17 → (2)
Either substitute x = 2y - 6 into (2) or y = - 3x + 17 into (1)
substituting y = - 3x + 17 into (1)
x = 2(- 3x + 17) - 6
x = - 6x + 34 - 6
x = - 6x + 28 ( add 6x to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
substitute x = 4 into (2)
y = - 12 + 17 = 5
solution is (4, 5 )
