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