Question

For each system choose the best description of a solution if applicable give the solution

Answer 1

ANSWER

The system has no solution

EXPLANATION

We want to find the solution to the system of equations given:

$\begin{gathered} x+4y-4=0 \\ -x-4y=4 \end{gathered}$

From the first equation, make x the subject of the formula:

$x=4-4y$

Substitute that into the second equation and simplify:

$\begin{gathered} -(4-4y)-4y=4 \\ -4+4y-4y=4 \\ \Rightarrow4y-4y=4+4 \\ 0=8 \end{gathered}$

As we can see, the two sides of the equality sign have two different values.

This implies that the system of equations has no solution.