Solving a system of linear and quadratic equations.

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cgureevna

Mathematics

Description

Solve the following system of equations

y = x² + 7x - 5

y = 6x + 7

There may be more than one solution need all

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Explanation & Answer

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Comparing equations (1) and (2) we get



Substitute x = -4 in equation (2)



Substitute x = 3 in equation (2)



So the solution is (-4, -17) and (3, 25) i.e. the line intersects the parabola at 2 points.

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