Y=6x-11 - 2x-3y=-7 solve each system of equation by substitution

(2, 1)

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3 (6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 (subtract 33 from both sides)

- 20x = - 40 (divide both sides by - 20)

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6 (2) - 11 = 12 - 11 = 1

Solution is (2, 1)