Question

Solve for x and y:

`4x - 3y = 8, 6x - y = 29/3`

Answer 1

The given system of equation is:

4x – 3y = 8   ...(i)

`6x - y = 29/3`   ...(ii)

On multiplying (ii) by 3, we get:

18x – 3y = 29   ...(iii)

On subtracting (iii) from (i) we get:

–14x = –21 

`x = 21/14`

`x = 3/2`

Now, substituting the value of `x = 3/2` in (i), we get:

`4 xx 3/2 - 3y = 8`

⇒ 6 – 3y = 8

⇒ 3y = 6 – 8

⇒ 3y = –2

⇒ `y = (-2)/3`

Hence, the solution `x = 3/2` and `y = (-2)/3`.