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

a system with no solutions

User Kamasheto
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1 Answer

2 votes

Answer:

[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.

Beginning with the equation 2x + 8y = 12, write an additional equation that would-example-1
User Silgon
by
7.9k points

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