Y=-8x - 37

x+3y=4

Substitution method

( - 5, 3)

Step-by-step explanation:

Given the 2 equations

y = - 8x - 37 → (1)

x + 3y = 4 → (2)

Substitute y = - 8x - 37 into (2)

x + 3 ( - 8x - 37) = 4 ← distribute and simplify left side

x - 24x - 111 = 4

- 23x - 111 = 4 (add 111 to both sides)

- 23x = 115 (divide both sides by - 23)

x = - 5

Substitute x = - 5 into (1) for corresponding value of y

y = - 8 ( - 5) - 37 = 40 - 37 = 3

Solution is ( - 5, 3)

x = - 5, y = 3 or you can write it as (-5, 3).

Step-by-step explanation:

y=-8x - 37

x+3y=4

From the second equation x = 4 - 3y, so substituting in equation 1:

y = - 8 (4 - 3y) - 37

y = - 32 + 24y - 37

-23y = - 69

y = 3

Now plug y = 3 into equation 1:

3 = - 8x - 37

-8x = 40

x = - 5.