Question

Solving a 2x2 system of linear equationsthat is inconsistent or consistent dependent

Answer 1

For the given system:

`\begin{gathered} x+5y=5 \\ -x-5y=-5 \end{gathered}`

If we divide the second equation by -1, we will obtain:

`\begin{gathered} -(x)/(-1)-(5y)/(-1)=-(5)/(-1) \\ x+5y=5 \end{gathered}`

Which is the same as the first equation.

Since the system is compound of 2 equal equations, we conclude that the system has infinitely many solutions.

They must satisfy the following equation:

`y=-(x)/(5)+1`