Question

solve each pair of simultaneous equation.2/3x+5/4y=11/12,5/4x+1/2y=27/20.​

Answer 1

Answer:

Let 1/x=u and 1/y=v, then these two equations become 2u/3+5y/4=11/12 equation 1

and 5u/4+v/2=27/20 equation 2

From equation 1 we get 8u+15v=11 equation 3

From equation 2 we get 25u+10v=27 equation 4

multiply equation 4 by 3 and equation 3 by 2 and subtract you will get

75u-16u=81-22

59u=59

u=1

put this value of u in equation 3, you will get v=1/5

Now 1/x=u=1

Therefore x=1

1/y=v=1/5

Therefore y=5

Ans x=1 and y=5