Question

How do you solve the following linear system `x - 4y = 2, 2x - 8y = 5`?

Answer 1

There is no solution to this linear system

Explanation:

Given:
[equation 1]`color(white)("XXX")x-4y=2`
[equation 2]`color(white)("XXX")2x-8y=5`

We note that if we multiply equation [1] by `2` we get:
`color(white)("XXX")color(blue)(2x-8y=color(red)(4)`
which contradicts equation [2]
`color(white)("XXX")color(blue)(2x-8y)= color(green)(5)`

The equations represent a pair of parallel lines which do not intersect.