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 = 293 ……(ii)
On multiplying (ii) by 3, we get:
18x – 3y = 29 ….(iii)
On subtracting (iii) from (i) we get:
-14x = -21 

x= `21/14 = 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 = -2

y = `(-2)/3`

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