Math, asked by Daksh2111, 11 months ago

2 upon X + 2 upon 3 Y is equal to 1 upon 6 3 upon X + 2 upon Y is equal to zero​

Answers

Answered by priya6444
61

Hope it will help you

Attachments:
Answered by BatteringRam
39

The required solution is x=6,y=-4

Step-by-step explanation:

\frac{2}{x}+\frac{2}{3y}=\frac{1}{6}---(i)\\\\\frac{3}{x}+\frac{2}{y}=0\\\\\Rightarrow \frac{3y+2x}{xy}=0\\\\ \Rightarrow 3y+2x=0\\\\\Rightarrow 3y=-2x\\\\\Rightarrow y=\frac{-2x}{3}

Substituting the value of y in equation (i)

\frac{2}{x}+\frac{2}{3\times(-\frac{2x}{3}) } =\frac{1}{6} \\\\\Rightarrow\frac{2}{x}+\frac{2}{-2x}=\frac{1}{6}  \\\\\Rightarrow\frac{2}{x}-\frac{1}{x} =\frac{1}{6}  \\\\\Rightarrow \frac{1}{x} =\frac{1}{6}

Cross Multiply

\Rightarrow x=6

Now substitute the value of x=6 in y=-\frac{2x}{3}

y=-\frac{2\times 6}{3}\\ \\\Rightarrow y=-4

Learn More:

One by X + 2 by 2 x minus 3 is equal to 1 by x minus 2 solve for x​

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