Question

Solve the systems of equations algebraically.Show all work.

Answer 1

( - 1, 17 ) and ( 6, 3 )

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

`x_(1)` = - 1

`y_(1)` = - 2( - 1) + 15 = 17

( - 1, 17 )

`x_(2)` = 6

`y_(2)` = - 2( 6 ) + 15 = 3

( 6, 3 )