Question

What is the solution of the system of equations shown below? y = 4x + 4 y
= x^2 - 5x + 18 *

Answer 1

(7, 32) and (2, 12)

Explanation:

Answer 2

(7, 32) and (2, 12)

Explanation:

y = 4x + 4

y = x² - 5x + 18

4x + 4 = x² - 5x + 18

x² - 9x + 14 = 0

14 = (-7)(-2)

-9 = -7 + (-2)

(x - 7)(x - 2)=0

x= 7, x = 2

For x = 7

y = 4x + 4 = 4*7 + 4 = 32

(7, 32)

For x = 2

y = 4x + 4 = 4*2 + 4 = 12

(2, 12)

Check:

y = x² - 5x + 18

(7, 32)

32 = 7² - 5*7 + 18

32= 32 true

(2, 12)

12 = 2² - 5*2 + 18

12 = 12 true