Question

Equations 3x - 2/y = 5 and x + 4/y = 4​

Answer 1

Answer:

answer is y= - 6 & x= - 13..

Answer 2

$\sf{\huge{\underline{\pink{Answer :-}}}}$

$\dfrac{3x - 2}{y} = 5$ ----(1)

$\dfrac{x + 4}{y} = 4$ ----(2)

➝ 3x - 2 = 5y ------(3)

x + 4 = 4y ------(4)

➝ 3x - 5y = 2 -------(5)

x - 4y = -4 -------(6) × 3

3x - 12y = -12 -------(7)

Subtracting equation (7) from (5)

3x - 12y = -12 -------(7)

3x - 5y = 2 -------(5)

_ + -

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- 7y = - 14

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➝ y = -14/-7

➝ y = 2

Put the value of y in equation (5)

3x - 5y = 2

➝ 3x - 5× 2 = 2

➝ 3x - 10 = 2

➝ 3x = 2 + 10

➝ 3x = 12

➝ x = $\cancel{\dfrac{12}{3}}$

➝ x = 4

$\sf{\huge{\underline{\green{Verification :-}}}}$

$\dfrac{3x - 2}{y} = 5$

➝ $\dfrac{3\times 4 - 2}{2} = 5$

➝ $\dfrac{12 - 2}{2} = 5$

➝ $\cancel{\dfrac{10}{2}} = 5$

➝ 5 = 5

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