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Tell whether the system has one solution, infinitely many solutions, or no solution.

6y=-5x+24
2.5x+3y=12

A.
One solution

B.
Infinitely many solutions

C.
No solution

3 answers

I'll be glad to check your answer.
note that you can rewrite the 1st line as
5x+6y = 24
how does that relate to the 2nd equation?
6y = -5x + 24.
5x + 6y = 24, Divide both sides by 2:
Eq1: 2.5x + 3y = 12.

Eq2: 2.5x + 3y = 12.
So Eq1 and Eq2 are the same.
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