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irina1246 [14]
3 years ago
10

Identify the solution(s) of the system of equations, if any. -6x - 4y = 12 12y = -18x - 36

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0
-6x - 4y = 12|\div 2\\
12y = -18x - 36|\div 6\\\\
-3x-2y=6\\
2y=-3x-6\\\\
-3x-2y=6\\
-3x-2y=6

Both equations are equivalent, so there are infinitely many solutions.
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For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!

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Hello.

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