Question

Solve the following system of equations and show all work. y = 2x2-3 y = 7x + 1 (10 points)​

Answer 1

x = -1/2 , y = -5/2

x = 4, y = 29

Explanation:

y = 2x² - 3

y = 7x + 1

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set equal

2x² - 3 = 7x + 1

Subtract 7x + 1 from both sides

2x² - 7x - 4 = 0

Factor

(2x + 1)(x - 4) = 0

x = {-1/2, 4}

For x = -1/2

y = 7(-1/2) + 1

y = -5/2

(-1/2 , -5/2)

For x = 4

y = 7(4) + 1

y = 29

(4, 29)