Question

How do you solve the system of equations `-4x - 7y = 1` and `-8x - 14y = - 1`?

Answer 1

Your system will not have solution.

Explanation:

Your equations represent two parallel lines. You can write them in slope intercept form `y=mx+c` as:

Equation 1:
`y=-4/7x-1/7`

and:

Equation 2:
`y=-8/14x+1/14` that can be written as:
`y=-4/7x+1/14`

As you can see the slope `m=-4/7` is the same for both and the only difference is the y-intercept.
The two parallel line will not have points in common so the system will not have solutions.