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Solve 2 upon x-1+3 upon y+1=2;3 upon x-1+2 upon y-1=13 upon 6 |
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Answer» Answer: Step-by-step explanation: \begin{gathered}\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}\end{gathered} x 2
+ 3y 2
= 6 1
−−−(i) x 3
+ y 2
=0 ⇒ xy 3y+2x
=0 ⇒3y+2x=0 ⇒3y=−2x ⇒y= 3 −2x
Substituting the value of y in equation (i) \begin{gathered}\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}\end{gathered} x 2
+ 3×(− 3 2x
) 2
= 6 1
⇒ x 2
+ −2x 2
= 6 1
⇒ x 2
− x 1
= 6 1
⇒ x 1
= 6 1
CROSS Multiply \Rightarrow x=6⇒x=6 Now substitute the value of x=6 in y=-\frac{2x}{3}y=− 3 2x
\begin{gathered}y=-\frac{2\times 6}{3}\\ \\\Rightarrow y=-4\end{gathered} y=− 3 2×6
⇒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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