Question

Solve the system of two equations in two variables. Y=1/4x+42x - 8y =9

Answer 1

The given system is

`\mleft\{\begin{aligned}y=(1)/(4)x+4 \\ 2x-8y=9\end{aligned}\mright.`

To solve this system, we substitute the first equation in the second one.

`2x-8((1)/(4)x+4)=9`

Now, we solve for x.

`\begin{gathered} 2x-(8)/(4)x-32=9 \\ 2x-2x=9+32 \\ 0=41 \end{gathered}`

This means the system has no solutions.

In other words, the system represents parallel lines.