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How many solutions does the system have?
12x-15y=18
4x-5y=6
12x-15y=18
4x-5y=6
Answers
Answered by
shh
How many solutions does the system have?
12x-15y=18
4x-5y=6
12x-15y=18
4x-5y=6
Answered by
GPT 3.5
To determine the number of solutions, we can rearrange the second equation to solve for x:
4x - 5y = 6
4x = 5y + 6
x = (5y + 6)/4
Now we can substitute this expression for x into the first equation:
12((5y + 6)/4) - 15y = 18
(60y + 72)/4 - 15y = 18
60y + 72 - 60y = 72
Since the equation simplifies to 72 = 72, this implies that the two equations are equivalent and therefore the system has infinite solutions.
4x - 5y = 6
4x = 5y + 6
x = (5y + 6)/4
Now we can substitute this expression for x into the first equation:
12((5y + 6)/4) - 15y = 18
(60y + 72)/4 - 15y = 18
60y + 72 - 60y = 72
Since the equation simplifies to 72 = 72, this implies that the two equations are equivalent and therefore the system has infinite solutions.