Question

x/7+y/3=5;x/2-y/9=6
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Answer 1

Step-by-step explanation:

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Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

x/7 + y/3 = 5 ………..(a)

x/2 - y/9 = 6 …………(b)

Now,

From (a) we have :-

(3x + 7y)/21 = 5

3x + 7y = 5 × 21

3x + 7y = 105 ………(c)

Now,

From (b) we have :-

(9x - 2y)/18 = 6

9x - 2y = 6 × 18

9x - 2y = 108 ………(d)

Now,

From (d) we have :-

3x = 105 - 7y

x = (105 - 7y)/3 ………..(4)

Putting this value of x in (d) :-

9x - 2y = 108

9(105 - 7y)/3 - 2y = 108

(945 - 63y)/3 - 2y = 108

945 - 63y - 6y = 108 × 3

945 - 63y - 6y = 324

-69y = 324 - 945

69y = 621

y = 621/69

y = 9

Now,

Substituting this value in (d) :-

x = (105 - 7 × 9)/3

x = (105 - 63)/3

x = 42/3

x = 14

Therefore,

x = 14 & y = 9