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vagabundo [1.1K]
3 years ago
14

6372(52836y)+46x=665x(637y+57)

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

x=\frac{336670992y}{423605y+37859};\quad \:y\ne \:-\frac{37859}{423605}

Step-by-step explanation:

6372\left(52836y\right)+46x=665x\left(637y+57\right)\\6372\cdot \:52836y+46x=665x\left(637y+57\right)\\336670992y+46x=665x\left(637y+57\right)\\336670992y+46x=423605xy+37905x\\336670992y+46x-336670992y=423605xy+37905x-336670992y\\46x=423605xy+37905x-336670992y\\46x-\left(423605xy+37905x\right)=423605xy+37905x-336670992y-\left(423605xy+37905x\right)\\-423605xy-37859x=-336670992y\\-x\left(423605y+37859\right)=-336670992y\\\frac{-x\left(423605y+37859\right)}{-\left(423605y+37859\right)}=\frac{-336670992y}{-\left(423605y+37859\right)}\\x=\frac{336670992y}{423605y+37859};\quad \:y\ne \:-\frac{37859}{423605}

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