Chapter 6.2, Problem 11PPS

To determine

To find: Values of x and y.

Answer to Problem 11PPS

  $\begin{array}{l}x=-3\\ y=-11\end{array}$

Explanation of Solution

Given information:

  $\begin{array}{l}y=3x-2\\ y=2x-5\end{array}$

  $y=3x-2$ ----(1)

  $y=2x-5$ ------(2)

Substitute the value of y from equation-(1) in equation-(2)

We get

  $\begin{array}{l}y=2x-5\\ \Rightarrow 3x-2=2x-5\\ \Rightarrow 3x-2x=2-5\\ \Rightarrow x=-3\end{array}$

Substitute value of $x$ in equation-(1)

We get

  $\begin{array}{l}y=3x-2\\ \Rightarrow y=3\left(-3\right)-2\\ \Rightarrow y=-9-2\\ \Rightarrow y=-11\end{array}$

Therefore, values of x and y are

  $\begin{array}{l}x=-3\\ y=-11\end{array}$