Chapter 10.2, Problem 32CCR

To determine

To calculate:The solutionof the given system of equations.

Answer to Problem 32CCR

The solution of the given system of equationsis $\left(x,y\right)=\left(2,-2\right)$ .

Explanation of Solution

Given information:The given system of equationsare given below.

  $\begin{array}{l}y=x+15\\ x=-5\end{array}$

Calculation:

The solution of a given system of equations is the point of intersection of the two equations/lines, that means the solution will be a point where both the equations will have the same x-coordinate and y-coordinate.

The system of equationsare

  $\begin{array}{l}y=x+15\mathrm{......}\left(1\right)\\ x=-5\mathrm{........}\left(2\right)\end{array}$

Put $x=-5$ in equation (1)

  $\begin{array}{l}y=x+15\\ y=\left(-5\right)+15\\ y=10\end{array}$

Hence the solution of the given system of equationsis $\left(x,y\right)=\left(-5,10\right)$ .