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

For each system choose the best description of a solution if applicable give the solution-example-1
User Superpig
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1 Answer

4 votes

ANSWER

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.

User Zgrkpnr
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