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y=5x+7 and 3y-15x=18

has how many solutions

1 answer

To determine the number of solutions, we can solve the given system of equations using the method of substitution:

First, solve the first equation for y:
y = 5x + 7

Substitute this value of y into the second equation:
3(5x + 7) - 15x = 18
15x + 21 - 15x = 18
21 = 18

The equation 21 = 18 is not true, which means there is no solution to the system of equations. Therefore, the given system of equations has 0 solutions.
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