1.

2x + 3y =12 , x -y = 1​

Answer»

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\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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