Question

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

Answer 1

The given system is

$\mleft\{\begin{aligned}y=\frac{1}{4}x+4 \\ 2x-8y=9\end{aligned}\mright.$

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

$2x-8(\frac{1}{4}x+4)=9$

Now, we solve for x.

$\begin{gathered} 2x-\frac{8}{4}x-32=9 \\ 2x-2x=9+32 \\ 0=41 \end{gathered}$

This means the system has no solutions.

In other words, the system represents parallel lines.