Question

Example 2: Solve the system algebraically. Then check your answer graphically.

y = x² + 8x + 13
y = 2x+5
1-25
YEXZ18413

Answer 1

Answer: (-2, 1), (-4, -3)

Explanation:

y = x² + 8x + 13

y = 2x+5

x² + 8x + 13 = 2x+5

x² + 6x + 13 = 5

x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

(x+2)(x+4)=0

x=-2 or x=-4

y=2(-2)+5

y=-4+5

y=1

y=2(-4)+5

y=-8+5

y=-3