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kobusy [5.1K]
3 years ago
6

WHAT ARE COMMON FACTORS

Mathematics
1 answer:
AlekseyPX3 years ago
7 0
"Common" means "same for both". If two numbers have a factor that's the same, then it's a common factor of them. Example: 2 is a common factor of 6 and 10. It's NOT the only factor of either number, but it's a factor that they share ... a 'common' one.
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\left\{\begin{array}{ccc}2x-3y=-27&|\cdot3\\-3x+2y=23&|\cdot2\end{array}\right\\\underline{\left\{\begin{array}{ccc}6x-9y=-81\\-6x+4y=46\end{array}\right}\ \ \ \ |\text{add both sides}\\.\ \ \ \ \ \ -5y=-35\ \ \ \ \ |:(-5)\\.\ \ \ \ \ \ \ \ y=7\\\\\text{put the value of y to the first equation}\\\\2x-3(7)=-27\\\\2x-21=-27\ \ \ \ |+21\\\\2x=-6\ \ \ \ |:2\\\\x=-3\\\\\text{Answer:}\ x=-3,\ y=7\to\boxed{(-3,\ 7)}

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