Chapter 10.6, Problem 57CCR

To determine

To solve: The given system algebraically.

Answer to Problem 57CCR

  $(x,y)=(1,4)$ .

Explanation of Solution

Given information: The given system is: $\begin{array}{l}y=2x+2\\ y=4x\end{array}$

Calculation:

Putting $y=4x$ in $y=2x+2$ ,

  $\begin{array}{l}4x=2x+2\\ \Rightarrow 2x=2\\ \Rightarrow x=1\end{array}$

Putting $x=1$ in $y=4x$ ,

  $y=4(1)=4$

So, $x=1,y=4$ .

Thus, $(x,y)=(1,4)$ is the solution of the given system.