Question

solve for x and y ,,,
$\frac{x}{7} + \frac{y}{3} = 5 \\ \\ \frac{x}{2} - \frac{y}{9} = 6$
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Answer 1

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x = 14

y = 9

step-by-step explanation:

Given,

x/7 + y/3 = 5

=> (3x + 7y)/7×3 = 5

doing cross multiplication,

we get,

=> 3x + 7y = 21×5

=> 3x + 7y = 105

multiplying the equation with 3,

we get,

=> 9x + 21y = 315 ..............(i)

and

x/2 - y/9 = 6

=> (9x -2y)/9×2 = 6

doing cross multiplication,

we get,

=> 9x - 2y = 18×6

=> 9x - 2y = 108 ............(ii)

now,

subtracting eqn(ii) from eqn (i),

we get,

21y- (-2y) = 315 - 108

=> 23y = 207

=> y = 207/23

=> y = 9

now putting the value of y in eqn (ii),

we get,

9x - 2×9 = 108

=> 9x = 108+ 18

=> 9x = 126

=> x = 126/9

=> x = 14

Hence,

x = 14

y = 9