Chapter 6.2, Problem 1AGP

To determine

To find: Values of x and y .

Answer to Problem 1AGP

  $\begin{array}{l}x=1\\ y=-2\end{array}$

Explanation of Solution

Given information:

  $y=4x-6$ ,

  $5x+3y=-1$

  $y=4x-6$ -----(1)

  $5x+3y=-1$ ------(2)

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

We get

  $\begin{array}{l}\Rightarrow 5x+3\left(4x-6\right)=-1\\ \Rightarrow 5x+3\times 4x-3\times 6=-1\\ \Rightarrow 5x+12x-18=-1\\ \Rightarrow 17x=-1+18\\ \Rightarrow 17x=17\\ \Rightarrow x=1\end{array}$

Substitute value of x in equation-(2)

We get

  $\begin{array}{l}\Rightarrow 5x+3y=-1\\ \Rightarrow 5\left(1\right)+3y=-1\\ \Rightarrow 5+3y=-1\\ \Rightarrow 3y=-1-5\\ \Rightarrow 3y=-6\\ \Rightarrow y=\frac{-6}{3}\\ \Rightarrow y=-2\end{array}$

Therefore values of x and y are

  $\begin{array}{l}x=1\\ y=-2\end{array}$