Chapter 6.2, Problem 1CYU

To determine

To find: Values of x and y.

Answer to Problem 1CYU

  $\begin{array}{l}x=5\\ y=10\end{array}$

Explanation of Solution

Given information:

  $\begin{array}{l}y=x+5\\ 3x+y=25\end{array}$

  $y=x+5$ -----(1)

  $3x+y=25$ ------(2)

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

We get

  $\begin{array}{l}3x+y=25\\ \Rightarrow 3x+x+5=25\\ \Rightarrow 4x+5=25\\ \Rightarrow 4x=25-5\\ \Rightarrow 4x=20\\ \Rightarrow x=\frac{20}{4}\\ \Rightarrow x=5\end{array}$

Substitute value of x in equation-(1)

We get

  $\begin{array}{l}y=x+5\\ \Rightarrow y=5+5\\ \Rightarrow y=10\end{array}$

Therefore, values of x and y are

  $\begin{array}{l}x=5\\ y=10\end{array}$