The solution to the given system of equation in coordinate form if both equations are equal to each other is (-1, 5)
How to solve system of equations
Given the system of equations
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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