Question

Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9

Answer 1

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

Answer 2

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▹ Answer

(x₁, y₁) = (-7, -5)

(x₂, y₂) = (2, 13)

▹ Step-by-Step Explanation

y = x² + 7x - 5

y = 2x + 9

Make the sides equal

x² + 7x - 5 = 2x + 9

Solve

x = -7x

x = 2

Substitute

y = 2x(-7) + 9

x = 2

Solve

y = -5

y = 2 * 2 + 9

Solutions

(x₁, y₁) = (-7, -5)

(x₂, y₂) = (2, 13)

Hope this helps!

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