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X÷2+y=0.8 and 7÷x+y/2=10

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X÷2+y=0.8 and 7÷x+y/2=10

Posted by Tanishq Sharma 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 1 month ago

{tex}\frac{x}{2}{/tex} + y = 0.8
{tex}\Rightarrow{/tex} x + 2y = 1.6
{tex}\Rightarrow{/tex} x = 1.6 - 2y ...........(i)
and {tex}\frac{7}{x+\frac{y}{2}}=10{/tex}
{tex} \Rightarrow \frac{14}{2 x+y}{/tex} = 10
{tex}\Rightarrow{/tex} 20x + 10y = 14
{tex}\Rightarrow{/tex} 10x + 5y = 7 ..........(ii)
Put (i) in (ii), we get
10(1.6 - 2y) + 5y = 7
{tex}\Rightarrow{/tex} 16 - 20y + 5y = 7
{tex}\Rightarrow{/tex} -15y = -9
{tex}\Rightarrow{/tex} y = {tex}\frac{9}{15}{/tex} = 0.6
Put y = 0.6 in equation (i), we get
x = 1.6 - 2(0.6)
x = 0.4
Hence x = 0.4 and y = 0.6 is the solution of given system of equations.

2Thank You

ANSWER

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