Chapter 8.4, Problem 24SR

To determine

To find: four solution and write in a table of ordered pairs.

Answer to Problem 24SR

x	y
-1	-5
0	-3
1	-1
2	1

And, the four ordered pair solution of the equation $y\text{ = }2x-3$ is:

  $\left(-1,-5\right),\left(0,–3\right),\left(1,-1\right),\left(2,1\right)$

Explanation of Solution

Given:

Consider the equation: $y=2x-3$

Calculation:

Take different value of x and solve for y

Put $x=-1$ in equation.

  $\begin{array}{l}\begin{array}{l}y=2\left(-1\right)-3\hfill \\ =-2-3\hfill \end{array}\\ =-5\end{array}$

Now, put $x=0$ in equation.

  $\begin{array}{l}\begin{array}{l}y=2\left(0\right)-3\hfill \\ =0-3\hfill \end{array}\\ =-3\end{array}$

Put $x=1$ in equation.

  $\begin{array}{l}\begin{array}{l}y=2\left(1\right)-3\hfill \\ =2-3\hfill \end{array}\\ =-1\end{array}$

Put $x=2$ in equation

  $\begin{array}{l}y=2\left(2\right)-3\hfill \\ =4-3\hfill \\ =1\hfill \end{array}$

Conclusion:

Therefore, the complete table is

x	y
-1	-5
0	-3
1	-1
2	1

And, the four ordered pair solution of the equation $y\text{ = }2x-3$ is:

  $\left(-1,-5\right),\left(0,–3\right),\left(1,-1\right),\left(2,1\right)$