Question

Solve for x and y: 

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

Answer 1

The given equations are:

`2x - (3y)/4 = 3`   ...(i)

5x = 2y + 7   ...(ii) 

On multiplying (i) by 2 and (ii) by `3/4`, we get:

`4x - 3/2y = 6`   ...(iii)

`15/4x = 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)`

⇒ `(3y)/4 = 3`

⇒ `y = (3 xx 4)/3`

⇒ y = 4

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