Asked by 2trimm_markel
how many solutions does 12x -15y=18 4x-5y=6 have
Answers
Answered by
2trimm_markel
ts ts 💯 ty
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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