Solve the following systems of equations:
Question:

Solve the following systems of equations:

$\frac{x}{2}+y=0.8$

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

Solution:

The given equations are:

$\frac{x}{2}+y=0.8 \ldots$$\ldots(i)$

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

$\Rightarrow 2 x+y=1.4 \ldots(i i)$

Subtract (ii) from (i) we get

$\frac{x}{2}+y=0.8$

Put the value of $x$ in equation $(i i)$ we get

$2 \times 0.4+y=1.4$

 

$\Rightarrow y=0.6$

Hence the value of $x=0.4$ and $y=0.6$.

 

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