Chapter 6.2, Problem 3AGP

To determine

To find: Values of x and y.

Answer to Problem 3AGP

No solution.

Explanation of Solution

Given information:

  $\begin{array}{l}2x-y=8\\ y=2x-3\end{array}$

$2x-y=8$ -----(1)

$y=2x-3$ ------(2)

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

We get

  $\begin{array}{l}2x-y=8\\ \Rightarrow 2x-\left(2x-3\right)=8\\ \Rightarrow 2x-2x+3=8\\ \Rightarrow 3=8\end{array}$

Which is not true

So there will be no solution.

As both the given equations are parallel lines they do not intersect each other.

  $\begin{array}{l}2x-y=8\\ 2x-y=3\end{array}$

Therefore, values of x and y are no solution.