Question

Complete the activity to find the value of x.
3x + 2y = 11 …(i) and 2x + 3y = 4 …(ii)
Solution:
Multiply equation (i) by _______ and equation (ii) by _______.
`square` × (3x + 2y = 11)    ∴ 9x + 6y = 33 …(iii)
`square` × (2x + 3y = 4)      ∴ 4x + 6y = 8   …(iv)
Subtract (iv) from (iii),
`square` x = 25
∴ x = `square`

Answer 1

3x + 2y = 11   …(i) and 2x + 3y = 4   …(ii)

Multiply equation (i) by 3 and equation (ii) by 2.

3 × (3x + 2y = 11)    ∴ 9x + 6y = 33 …(iii)

2 × (2x + 3y = 4)      ∴ 4x + 6y = 8   …(iv)

Subtract (iv) from (iii),

5 x = 25

∴ x = `25/5`

∴ x = 5