Question

find the value of x and y​

Answer 1

Hence x= 9

y= 14

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Answer 2

$\boxed\huge\red{Question:}$

$\frac{x}{2} - \frac{y}{9} = 6 - - - - - (1)\\ \frac{x}{7} + \frac{y}{3} = 5 - - - - - (2)$

$\boxed\huge\blue{Sol:}$

By eqñ ( 1 )

$\frac{9x - 2y}{18} = 6 \\ 9x - 2y = 108 - - - - - - (3)$

By eqñ ( 2 )

$\frac{3x + 7y}{21} = 5 \\ 3x + 7y = 105 - - - - - - (4)$

Multiply by 3 to eqñ ( 3 ) and multiply by 9 to eqñ

( 4 )

By eqñ ( 3 )

$27x - 6y = 324 - - - - - (5)$

By eqñ ( 4 )

$27x + 63y = 945 - - - - -(6)$

By subtracting ( 5 ) and ( 6 )

$27x - 6y = 324 \\ 27x + 63y = 945 \\ - - - - - - - - \\ - \: \: \: \: \: - \: \: \: \: \: \: \: \: \: - \\ - - - - - - - - \\ - 69y \: = \: - 621 \\ y = \frac{ - 621}{ - 69} \\ y = 9$

Put y in ( 1 ) to find value of x

9x - 2y = 108

9x - 18 = 108

9 ( x - 2 ) = 108

x - 2 = 12

x = 14

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