Chapter 8.3, Problem 6CYU

To determine

To calculate:To find four solutions for the below equation and to write the solutions as ordered pair −

  $-x+y=7$

Answer to Problem 6CYU

The four solutions as ordered pairs are $\left(-2,5\right)$ , $\left(-1,6\right)$ , $\left(0,7\right)$ and $\left(1,8\right)$ .

Explanation of Solution

Given information:

Equation is $-x+y=7$

Formula Used:

To solve an equation with multiple variables, we need to consider some random values for one of the variables and solve for the other one to find the ordered pair.

Calculation:

Given equation is $-x+y=7$

Therefore, $y=x+7$

Using the above explanation, we have -

Let the value of $x$ be $-2$ , substituting the value of $x$ in the above equation, we have:

  $y=-2+7$

Solving the above equation, we have :

  $y=5$

Thus, the first ordered pair is $\left(-2,5\right)$ .

Using the same approach to find the other ordered pairs −

Let the value of $x$ be $-1$ , substituting the value of $x$ in the above equation, we have:

  $y=-1+7$

Solving the above equation, we have :

  $y=6$

Thus, the second ordered pair is $\left(-1,6\right)$ .

Let the value of $x$ be $0$ , substituting the value of $x$ in the above equation, we have:

  $y=0+7$

Solving the above equation, we have :

  $y=7$

Thus, the third ordered pair is $\left(0,7\right)$ .

Let the value of $x$ be $1$ , substituting the value of $x$ in the above equation, we have:

  $y=1+7$

Solving the above equation, we have :

  $y=8$

Thus, the fourth ordered pair is $\left(1,8\right)$ .

Thus, the four ordered pairs are $\left(-2,5\right)$ , $\left(-1,6\right)$ , $\left(0,7\right)$ and $\left(1,8\right)$ .