Question

Solve for x and y: 

2x - `(3y)/4 = 3 ,5x = 2y + 7`

Answer 1

The given equations are:
2x - 3𝑦4 = 3 …..(i)
5x = 2y + 7 ……..(ii) 
On multiplying (i) by 2 and (ii) by `3/4`,  we get:

4x -`3/2y = 6`           …...(iii)

`15/4 x = 3/2y + 21/4 `              ................(iv)

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

`1/4x =-3/4`

⇒ x = 3
On substituting x = 3 in (i), we get:

`2 xx 3 - (3y)/4 = 3 `

⇒  `(3y)/4 = (6-3) = 3`

 ⇒  y = `(3xx4)/4 = 4`

Hence, the solution is x = 3 and y = 4.