Question

Solve the following linear equations:-

3x + 5y =4xy
2y - x = xy

Answer 1

Answer:

2y+x=xy

x=xy-2y

x=y(x-2)

y=x/(x-2)

3x+5y=4xy

3x=4xy-5y

3x=y(4x-5)

3x=x/(x-2)*(4x-5)

3x^2-6x=4x^2-5x

3x-6=4x-5

5-6=4x-3x

x=-1

y=x/(x-2)

y=-1/(-1-2)

y=1/3

Answer 2

divide equation 1 by 2

we get,

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

3x+5y=8y-4x

x=3y/7

now put this value into equation 2

we will get,

2y-(3y/7)=y*3y/7

11y/7=3y^2/7

so y=11/3

now put this into equation 3

we will get,

x=3*(11/3)/7

so, X=11/7 and Y=11/3

hope this answer will help you