how many solutions does y = 5x + 7 3y - 15x = 18 have

1 answer

To find the number of solutions for the system of equations y = 5x + 7 and 3y - 15x = 18, we can use substitution or elimination method.

Using substitution method:
We can solve the first equation for y:
y = 5x + 7

Substituting this 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. Thus, the number of solutions for the given system is 0.
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