Question

How do you solve the system of equations `y= 5x + 8` and `2y = 10x - 8`?

Answer 1

The system has no real solutions.

Explanation:

We can see that the two equations represent 2 parallel lines if we write them in slope-intercept form:
`y=mx+c`

We get:

`y=5x+8`
and:
`y=10/2x-8/2`
`y=5x-4`

so, the two equation represent two lines with the same slope `m=5` and different y-inercept `c`, i.e., two parallel lines.
The system will not have solutions.