Math, asked by laalu4636, 7 months ago

3x _ 5y _ 4 = 0 and 9x = 2y + 7 solve it by substitution method

Answers

Answered by Anonymous

36

${\huge{\underline{\mathcal{Question::}}}}$

Solve the linear pair:-

Q)

3x-5y-4 = 0

9x = 2y+7

${\huge{\underline{\mathcal{Answer::}}}}$

3x-5y = 4 ----- (i)

9x-2y = 7 ----- (ii)

${\boxed{\pink{Now,}}}$

In (i) -

3x = 4+5y

=> x = (4+5y)/3 ----- (iii)

In (ii) -

9x-2y = 7

=> 9 × (4+5y)/3-2y = 7

=> 3(4+5y)-2y = 7

=> 12+15y-2y = 7

=> 12+13y = 7

=> 13y = 7-12

=> 13y = -5

=> y = -5/13

In (iii) -

x = (4+5y)/3

=> x = (4+5×-5/13)/3

=> x = {4+(-25/13)}/3

=> x = {4-25/13}/3

=> x = {(52-25)/13}/3

=> x = {27/13}/3

=> x = 27/13 × 1/3

=> x = 9/13

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