Chapter 10.6, Problem 58CCR

To determine

To solve: The given system algebraically.

Answer to Problem 58CCR

  $(x,y)=(1,5)$ .

Explanation of Solution

Given information: The given system is: $\begin{array}{l}y=3x+2\\ x+y=6\end{array}$

Calculation:

Putting $y=3x+2$ in $x+y=6$ ,

  $\begin{array}{l}x+(3x+2)=6\\ \Rightarrow 4x+2=6\\ \Rightarrow 4x=4\\ \Rightarrow x=1\end{array}$

Putting $x=1$ in $y=3x+2$ ,

  $y=3(1)+2=5$

So, $x=1,y=5$ .

Thus, $(x,y)=(1,5)$ is the solution of the given system.