Question

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

Answer 1

Answer:

{-1.75}

Step-by-step 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

Answer:

Find the attached

Step-by-step 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;