Chapter 8, Problem 10PFA

To determine

To write the equation that suits the given table.

Answer to Problem 10PFA

  $\begin{array}{l}x-y=-5\\ x+y=5\end{array}$

Explanation of Solution

Given:

  

Calculation:

Consider a general equation.

Let the equation be $x+y=c$ where c is some constant.

From the first table, it is seen that when the value of x is 0, the value of y is 15.

So, the equation can be

  $x+y=15\text{or}x-y=-15$

Hence, from the options the equation that best suits the first table is $x-y=-15.$

Similarly, from the second table, it is seen that when the value of x is 0, the value of y is 5.

So, the equation can be

  $x+y=5\text{or}x-y=-5$

Hence, from the options the equation that best suits the second table is $x+y=5.$

Conclusion:

Therefore, the equations are $x-y=-15$ and $x+y=5.$