Solve each system by substitution

2x - 3y = - 1

X + 4y = - 6

( - 2, - 1)

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2 ( - 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 (add 12 to both sides)

- 11y = 11 (divide both sides by - 11)

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4 ( - 1) = - 6 + 4 = - 2

Solution is ( - 2, - 1)