Question

solve for x, y x/2 +y=0.8. 7/x+y/2=10

Answer 1

Answer:

$Value \: of \: x = 0.6\\and\\y=0.2$

Step-by-step explanation:

$Given \\\frac{x}{2}+y=0.8 \\\implies \frac{x}{2}=0.8-y---(1)$

$\frac{7}{\frac{x+y}{2}}=10$

$\implies 7=10\left(\frac{x+y}{2}\right)$

$\implies 7=10\left(\frac{x}{2}+\frac{y}{2}\right)$

$\implies 7=10\left(0.8-y+\frac{y}{2}\right)\:[From\:(1)]$

$\implies 7 = 10\times 0.8-10y+10\times \frac{y}{2}$

$\implies 7=8-10y+5y$

$\implies 7-8=-5y$

$\implies -1=-5y$

$\implies y = \frac{1}{5}=0.2--(2)$

$Substitute \: y = 0.2\: in \\ equation (1)\:we\:get$

$\frac{x}{2}=0.8-0.2\\=0.6$

Therefore,

$Value \: of \: x = 0.6\\and\\y=0.2$

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Answer 2

Answer is x= 2/5 , y= 3/5