For this system, we have:

x − 5y = −10 has x-intercept `-10`, and y-intercept `2`.

x − 5y = 7 has x-intercept `7` and has y-intercept `-7/5=-1.4`.

The graph is as follows:

2 4 6 8 -2 -4 -6 -8 -10 2 4 6 -2 -4 x y
`x - 5y = -10`
`x - 5y = 7`

Graph of the linear equations x − 5y = −10 and x 5y = 7 .

We see there are no solutions for the system since the lines are parallel.