Question

The value of x and y is

1/2x+1/3y=2,1/3x+1/2y=13/6​

Answer 1

Answer:

x=1/2 ,y=1/3

Explanation:

1/2x+1/3y=2

take LCM

3y+2x/6xy=2

2x+3y=12xy

2x+3y-12xy=0

(a-b)^2=a^2+b^2-2ab

(2x-3y)^2=0

then another equation

1/3x+1/2y=13/6

2y+3x/6xy=13/6

3x+2y=13/6×6xy

3x+2y=13xy

add -12xy on both sides

3x+2y-12xy=XY

(3x-2y)^2=XY

divide both the equations

2x+3y-12xy=0. equ1

3x+2y-12xy=XY equ2

equation 1×3

6x+9y=36xy

equation 2×2

6x+4y=26xy

by dividing we get

6x+9y=36xy

6x+4y=26xy

5y=10xy

X=1/2

sub in equation 2

6x+4y=26xy

6×1/2+4y=26×1/2×y

3+4y=13y

3=13y-4y

3=9y

y=1/3

Answer 2

Explanation:

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