how many solutions does 12x -15y=18 4x-5y=6 have

3 answers

To determine the number of solutions, we can solve the system of equations using either substitution or elimination. Let's use elimination:

Multiplying the second equation by 3 gives us:

12x - 15y = 18
12x - 15y = 18

Now we can subtract the first equation from the second equation:

(12x - 15y) - (12x - 15y) = 18 - 18
0 = 0

Since the resulting equation is 0 = 0, this means that the two equations are equivalent and will have infinitely many solutions.
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