Question

Solve for x and y: 

`2x + 5y = 8/3, 3x - 2y = 5/6`

Answer 1

The given equations are: 

2x - 2y = `5/6`           …..(i)

3x - 2y = `5/6`          ……..(ii)

On multiplying (i) by 2 and (ii) by 5, we get:

4x - 10y = `16/3`      …...(iii)

15x – 10y =`25/6`       …(iv)

On adding (iii) and (iv), we get:

19x =`57/6`

⇒` x =  57/(6 xx19) = 3/6 = 1/2`

On substituting x = `1/2` in (i), we get:

`2 × 1/2 + 5y = 8/3`

`⇒ 5y = (8/3−1) = 5/3`

`⇒y = 5/(3 × 5) = 1/3`
Hence, the solution is x = `1/2 and y = 1/3`.