Chapter 10.6, Problem 59CCR

To determine

To solve: The given system algebraically.

Answer to Problem 59CCR

  $(x,y)=(6,6)$ .

Explanation of Solution

Given information: The given system is: $\begin{array}{l}y=x\\ y+x=12\end{array}$

Calculation:

Putting $y=x$ in $y+x=12$ ,

  $\begin{array}{l}x+x=12\\ \Rightarrow 2x=12\\ \Rightarrow x=6\end{array}$

Since $y=x$ , $\therefore y=6$ .

So, $x=6,y=6$ .

Thus, $(x,y)=(6,6)$ is the solution of the given system.