Question

Solve the following systems of equations:
x/3 +y/4 =11
5x/6 -y/3 =7

Answer 1

The given system of equations is

Let us eliminate y from the given equations. The coefficients of y in the equations(iii) and (iv) are 3 and 2 respectively. The L.C.M of 3 and 2 is 6. So, we make the coefficient of y equal to 6 in the two equations.

Hence, the solution of the given system of equations is x=6, y=36