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Pair of linear equations X/2+y=0.8 7/x+y/2=10

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Pair of linear equations X/2+y=0.8 7/x+y/2=10

Posted by Naga Venkata 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 1 month ago

Given equations are
$\frac{x}{2} + y = 0.8$
$\frac{x + 2y}{2} = 0.8$ .
x + 2y = 1.6 ........ (i)
and
$\frac{7}{{x + \frac{y}{2}}} = 10$
$\frac{{7 \times 2}}{{2x + y}} = 10$
$\frac{{7}}{{2x + y}} = 5$
7 = 10x + 5y
10x + 5y = 7 .......... (ii)
Multiply first equation by 10
10x + 20y = 16............ (iii)
Subtracting the equations (ii) from (iii) , we get
15y = 9
$y = \frac{9}{{15}} = \frac{3}{5}$
Put value of y in (i)
$x = 1.6 - 2\left( {\frac{3}{5}} \right) = 1.6 - \frac{6}{5} = \frac{2}{5}$
Solution is $\left( {\frac{2}{5},\;\frac{3}{5}} \right)$

3Thank You

ANSWER

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CBSE > Class 10 > Mathematics