Question

How to solve y=2x+3 y=2x+1

Answer 1

We have the system of equations

`\begin{gathered} y=2x+3 \\ y=2x+1 \end{gathered}`

Using substitution, we have that

`2x+3=2x+1`

Solving for x, we have that

`\begin{gathered} 2x-2x=1-3 \\ 0=-2 \end{gathered}`

but this is a contradiction, therefore the system of equations don't have a solution.

We also can notice this if we graph the equations.

From the graph we see that the equations do not intersect, then the system don't have a solution.