Question

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

Answer 1

Answer:

[see below]

Step-by-step 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 $-\frac{1}{4}$, and it's y-intercept is $\frac{3}{2}$.

Since parallel lines have the same slope but not the same y-intercept, I would use $y=-\frac{1}{4}x+3$.

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.