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

1 Answer

10 votes

Answer:

no solutions

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.

OR

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.

User Sgdva
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