Question

3x - 4y=16
2x - 3y=10​

Answer 1

Answer:

Step-by-step explanation:

Given, equations are :

3x – 4y = 16  ...  (1)

2x – 3y = 10  ...  (2)

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

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

⇒ 6x – 8y = 32  ...  (3)

⇒ 6x – 9y = 30  ...  (4)

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

6x – 8y – (6x – 9y) = 32 – 30

⇒ 6x – 8y – 6x + 9y = 2

⇒ y = 2

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

3x - 4y = 16

⇒ 3x - 4(2) = 16

⇒ 3x = 16 + 8

⇒ x = 24/3

      = 8