Question

Beginning with the equation 2x + 8y = 12, write an additional equation that would create:

a system with no solutions

Answer 1

[see below]

Explanation:

A system of equations with no solution would show parallel lines. We just have make a equation that is parallel to the original equation.

The slope of 2x + 8y = 12 is
`-(1)/(4)`, and it's y-intercept is
`(3)/(2)`.

Since parallel lines have the same slope but not the same y-intercept, I would use
`y=-(1)/(4)x+3`.

Any equation that has -1/4 as the slope would work.

When graphed together, they show as a system with no solution.

Hope this helps.