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Find the values of Y and X

Find the values of Y and X-example-1

1 Answer

3 votes
Answer is x = 13 and y = 20

Step by step

Both vertical angles are congruent so they equal each other

Solve for x

6x - 26 = 4x

Subtract 6x from both sides to combine variables

6x -6x -26 = 4x -6x

-26 = -2x

Divide both sides by -2 to solve for x

-26/-2 = -2/-2 x

x = 13

Solve for y

6y + 8 = 7y - 12

Subtract 7y from both sides to combine variables

6y -7y +8 = 7y - 7y - 12

-y +8 = -12

Subtract 8 from both sides to solve for y

-y +8 -8 = -12 -8

-y = -20

y = 20

Check your work, sub x and y values into equations

6x - 26 = 4x
6(13) -26 = 4(13)
78 -26 = 52
52=52

They equal so it is correct

6y + 8 = 7y - 12

6(20) +8 = 7(20) -12

120 + 8 = 140 -12

128 = 128

They equal so it is correct
User Jjagwe Dennis
by
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