Question

Need a answered for this question.Plot the equations and then determine the solution.

Answer 1

The Solution:

Given:

`\begin{gathered} y=3x-1 \\ \\ y=5 \end{gathered}`

Required:

Plot the equations and then determine the solution. ​

Step 1:

Construct a table of values for y = 3x -1

The values of y were obtained as follows:

`\begin{gathered} x=-2 \\ y=3(-2)-1=-6-1=-7 \end{gathered}`
`\begin{gathered} x=0 \\ y=3(0)-1=-1 \end{gathered}`
`\begin{gathered} x=2 \\ y=3(2)-1=6-1=5 \end{gathered}`

Step 2:

Plot the graphs of y = 5 and y = 3x-1

The solution is the coordinates of the point of intersection between the two lines.

Thus, the solution is:

`(x,y)=(2,5)`

This means that:

`x=2,y=5`