Question

Linear equation: y = 5x + 6

quadratic equation: y = x^2 +7x - 18

Show all work to solving your system of equations algebraically.

Answer 1

(4, 26)

(-6, -24)

Explanation:

Step 1: Substitution

5x + 6 = x² + 7x - 18

Step 2: Move everything to one side

0 = x² + 2x - 24

Step 3: Factor

(x - 4)(x + 6) = 0

Step 4: Find roots

x = 4, -6

Step 5: Plug in x to find y

y = 5(4) + 6

y = 20 + 6

y = 26

y = 5(-6) + 6

y = -30 + 6

y = -24