How many solutions does the system of equations have ? Y=5x + 15 Y=5x + 12

Mathematics

1 answer:

lianna [129]2 years ago

5 0

Answer:

no solutions

Step-by-step explanation:

We can solve this system using elimination. In this case, we can eliminate x and y by subtracting the two equations:

0=15-12

0=3

This is not true, meaning the system does NOT have any solutions.

The equation for a line is:

y=mx+b

m: slope

b: y-intercept

Here we can see the two lines have the same slope, meaning they are parallel. If they are parallel, they do not intersect which means there is no solution.

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