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zvonat [6]
3 years ago
15

Deedra has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the

equation 3 = 7. What must be true about the two lines?
Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer: they are parallel to one another

KonstantinChe [14]3 years ago
3 0

we can take a peek at two of those lines  hmmm say y = 5x + 3 and y = 5x + 7.

let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.

since y = y then

5x + 3 = 5x + 7

3  = 7    what the?

well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?

it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.

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