Question

Select the graph of the solution set that would represent the following expression. (x-2)=5(x+1)​

Answer 1

{-1.75}

Explanation:

The given equation is

`x-2=5(x+1)`

Let as assume f(x) be left hand side and g(x) be the right hand side.

`f(x)=x-2`

`g(x)=5(x+1)`

The solution set of given equation is the intersection point of f(x) and g(x).

Table of values are:

For f(x) For g(x)

x f(x) x g(x)

0 -2 0 5

2 0 -1 0

Plot these corresponding ordered pairs on a coordinate plan and connect them by straight lines

From the below graph it is clear that the intersection point of f(x) and g(x) is (-1.75,-3.75).

Therefore, the solution set of given equation is {-1.75}.

Answer 2

Find the attached

Explanation:

We have been given the following expression;

(x-2)=5(x+1)

We are required to determine the graph of the solution set. To do this we formulate the following set of equations;

y = x - 2

y = 5(x+1)

We then graph these two equations on the same cartesian plane. The solution will be the point where these two graphs intersect.

Find the attachment below;