Solve for x and y (use elimination or substitution). show work.

7x+3y-1 = 10x -7y+9   as vertical angles

7x+3y-1 + x = 180  as supplementary angles

So, we have system of equations:

7x+3y-1 = 10x -7y+9 (1)

7x+3y-1 + x = 180     (2)

1) Simplify equation  (1)

7x+3y-1 = 10x -7y+9   > -3x +10y =10

2) Simplify equation (2)

7x+3y-1 + x = 180   > 8x +3y = 181

3)    

(-3x +10y =10)*8    > -24x+80y =80

( 8x +3y = 181)*3     > 24x + 9y = 543

4)

 -24x+80y =80

+24x + 9y = 543

         89y = 623

             y = 7

5) -3x +10y =10

-3x + 10*7 =10

-3x +70 =10

-3x = -60

x=20

Answer : x=20, y = 7

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step-by-step explanation:

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