Solve the systems of equations algebraically.Show all work.

Answer:
( - 1, 17 ) and ( 6, 3 )
Step-by-step explanation:
- 2(x - 2)² + 35 = - 2x + 15
- 2x² + 8x - 8 + 35 = - 2x + 15
2x² - 10x - 12 = 0
x² - 5x - 6 = 0
(x - 6)(x + 1) = 0
[tex]x_{1}[/tex] = - 1
[tex]y_{1}[/tex] = - 2( - 1) + 15 = 17
( - 1, 17 )
[tex]x_{2}[/tex] = 6
[tex]y_{2}[/tex] = - 2( 6 ) + 15 = 3
( 6, 3 )