Solve the following system of equations.What is one x-value of a solution? f(x) = x² + 7x- 24 g(x) = -3x - 40 x = 4 x = -3 x = 3

Question

10 months ago

14

x = 8

1 answer:

oksian1 [2.3K] · Answer 1 · 2024-01-12T15:41:40+03:00

For the given set of equations, the values of x = -8 and x = -2.

We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40

An Equation is an algebraic statement that shows that two quantities are equal.

For one x-value of a solution,

We equate both the given functions,

Thus, f(x) = g(x)

x² + 7x- 24 = -3x - 40

$x^{2}$ +7x + 3x -24 + 40 = 0

$x^{2}$ +10x + 16 =0

$x^{2}$ + 8x + 2x +16 =0

x(x+8) + 2(x +8) =0

(x+8) (x+2) = 0

x = -8 and x = -2

Hence, Concluding, we have x = -8 and x = -2

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