SOLVE 3x - 4y =16 ; 2x - 3y = 10

**Given,** equations are :

3*x* – 4*y* = 16 ... (1)

2*x* – 3*y* = 10 ... (2)

Multiply equation (1) by 2 and equation (2) by 3, we get

(3*x* – 4*y* = 16) × 2 and (2*x* – 3*y* = 10) × 3

⇒ 6*x* – 8*y* = 32 ... (3)

⇒ 6*x* – 9*y* = 30 ... (4)

Subtracting equation (4) from equation (3), we get

6*x* – 8*y* – (6*x* – 9*y*)* *= 32 – 30

⇒ 6*x* – 8*y* – 6*x* + 9*y* = 2

⇒ *y* = 2

On putting value of *y* in (1), we get

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