Question

Use substitution to solve the system of equations. 3 - 5y = 36 22 + y = -16

Answer 1

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓