Question

I need to know the steps by step to solve this

Answer 1

Given the system of equations:

`\begin{gathered} y=-x+3 \\ y=-x+5 \end{gathered}`

Since the left hand side of both equatiions are same, equate the right hand side.

`-x+3=-x+5`

Add x on both sides of the equation.

`\begin{gathered} -x+3+x=-x+5+x \\ 3=5 \end{gathered}`

which is not possible. Hence the given system of equations is inconsistent.