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4x +6/y=15 6x-8/y=15

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4x +6/y=15 6x-8/y=15

Posted by Vikas Goel 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

The given equations are
4x + {tex}\frac{6}{y}{/tex} = 15 .......... (i)
6x - {tex}\frac{8}{y}{/tex} = 14 ......... (ii)
Multiply (i) by 3 and (ii) by 2 , we get
12x + {tex}\frac{18}{y}{/tex} = 45 ............(iii)
12x - {tex}\frac{16}{y}{/tex} = 28 ............(iv)
Subtracting (iii) and (iv), we get

{tex}\Rightarrow{/tex} 2 = y

Put y = 2 in (i) , we get
4x + {tex}\frac{6}{2}{/tex} = 15
{tex}\Rightarrow{/tex}4x = 15 -3
{tex}\Rightarrow{/tex} 4x =12
{tex}\Rightarrow{/tex} x = {tex}\frac{12}{4}{/tex} = 3
Hence x = 3 and y = 2 is the solution of given system of equations.

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