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Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40

Sagot :

One x- value of the solution is : -2 or -8

What is an equation?

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

Analysis:

for one x-value of a solution, f(x) = g(x)

[tex]x^{2}[/tex] + 7x -24 = -3x - 40

[tex]x^{2}[/tex] +7x +3x -24 +40 = 0

[tex]x^{2}[/tex] + 10x +16 = 0

[tex]x^{2}[/tex] +8x +2x +16 = 0

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

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

x = -2 or -8

In conclusion, the values of x are -2 or -8

Learn more about system of equation : brainly.com/question/14323743

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