Question

If Ill m, solve for x and y.
(3x - 29)
(8y + 17)
(6x - 7)
X =
y =

Answer 1

x=24 y=15

Explanation:

Alternate exterior angle

6x-7=8y+17

(8y+17) + (3x-29) = 180

(3x-29) + (6x-7)= 180

combine like terms solving for x first because it's easier

9x-36=180

add 36 to both sides

9x=216

divide both sides by 9 to get x by itself

x=24

now you know what x is plug it in for your choice of equations to solve for y

6(24)-7=8y+17

144-7=8y+17

137=8y+17

subtract 17 from both sides

120=8y

divide both sides by 8

15=y

(8y+17) + (3(24)-29) = 180

8y+17+72-29=180

combine like terms

8y+60=180

subtract 60 from both sides

8y=120

divide by 8 on both sides

y=15