Question

2x + 3y =12 , x -y = 1​

Answer 1

$\huge{\underline{\underline{\red{♡Solution→}}}}$

→

$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

2x + 3y = 12 --------(i)

x - y = 1 --------------(ii)

$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

The value of x and y .

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$\purple{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

2x + 3y = 12 ------------ (i)

x - y = 1 --------------------(ii) × 3

3x - 3y = 3 --------------(iii)

Equation (i) + (iii) →

2x + 3y = 12 ------------ (i)

3x - 3y = 3 --------------(iii)

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5x = 15

x = 15/5

x = 3

Put the value of x into equation (ii) →

x - y = 1

3 - y = 1

y = 3-1

y = 2 .

The values of x and y are 3 and 2.

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Answer 2

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Given :

2x + 3y = 12 _____(1)

x - y = 1 _____(2)

Solution:

Multiply equation (2) with 2 ,

(2) × 2 => 2x - 2y = 2 _____(3)

Subtract (1) &(3) ,

(1) => 2x +3y = 12

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

(-) (+) (-)

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5y = 10

y = 10 /5

y = 2

Substitute the value of y = 2 in equation (2),

(2) => x - 2 = 1

x = 1 +2

x = 3

☆》ANSWER : x = 3 , y = 2《☆

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