Solve using substitution

x=2y-6

y = - 3x+17

(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)