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Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. g(x) = -2x - 3 and f(x) = Ix+1I - 4

Please HelpDetermine the solution to the system of equations graphed below and explain your reasoning in complete sentences gx 2x 3 and fx Ix1I 4 class=

Respuesta :

Answer:

(0,3)

Step-by-step explanation:

It is where the lines intersect

The value of the g(x) is equal to the value of f(x). Then the solution of the equation is at (0, -3).

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The given expression are as follows

g(x) = -2x - 3 and f(x) = Ix+1I - 4

For the solution of the system, the value of the g(x) is equal to the value of f(x). Then we have

[tex]\begin{aligned} \rm g(x) &= \rm f(x)\\\\\rm -2x - 3 &= \rm x + 1 - 4\\\\-\rm 2x - 3 &= \rm x - 3\\\\\rm 3x &= 0\\\\\rm x &= 0 \end{aligned}[/tex]

Then the g(x) will be

g(x) = -2(0) - 3

g(x) = - 3

Then the solution of the equation is at (0, -3).

More about the linear system link is given below.

https://brainly.com/question/20379472