Question

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

Answer 1

The system has no solution

Step-by-step 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.