Chapter 6.3, Problem 37HP

To determine

To find the second equation for the system

Explanation of Solution

Given:

The solution of system of equations: $(-3,2)$

One of the equations in the system: $x+4y=5$

Consider an equation using the opposite coefficient for x

  $\Rightarrow -x+y=n$ , where n is the number.

Substitute the value of the solution of the equations $(-3,2)$ in the above equation/

  $\begin{array}{l}\Rightarrow -(-3)+2=n\\ \Rightarrow 3+2=n\\ \Rightarrow 5=n\end{array}$

This solution is obtained by creating another equation with the additive inverse of the coefficient of the given equation.

Conclusion:

Therefore, the other equation is $-x+y=5$