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Step-by-step explanation:

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The solution to the given system of equation in coordinate form if both equations are equal to (-1, 5).

How to solve system of equations?

Given the system of equations are;

y = 2x² + 6x + 1

y = −4x² + 1

Equate both expressions to have,

2x² + 6x + 1 = −4x² + 1

Equate to zero;

2x² + 6x + 1  +4x² - 1

6x² + 6x = 0

6x² = -6x

x = -1

Recall that y = −4(-1)² + 1

y = 4 + 1 = 5

Hence, the solution to the system of equation is (-1, 5).

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