Question

2/x+2/3y=1/6 2/x+1/y=1 solve for x and y

Answer 1

Answer:

Step-by-step explanation:

Answers

mysticd

MysticdMaths AryaBhatta

Hi ,

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

2/x + ( 2/y ) × 1/3 = 1/6 ---( 1 )

3/x + 2/y = 0

2/y = - 3/ x ------( 2 )

Put ( 2 ) in equation ( 1 ) ,

2 / x + ( - 3 / x ) × 1/3 = 1/6

2/x - 1/x = 1/6

1 / x = = 1/6

x = 6 ----( 3 )

Put ( 3 ) in equation ( 2 ),

2 / y = ( - 3 / 6 )

2/y = - 1/2

1 / y = - 1 / 4

y = - 4

Therefore ,

x = 6 ,

y = - 4

I hope this helps you.

:)

Answer 2

Answer:

Step-by-step explanation:

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

2/x + ( 2/y ) × 1/3 = 1/6 ---( 1 )

3/x + 2/y = 0

2/y = - 3/ x ------( 2 )

Put ( 2 ) in equation ( 1 ) ,

2 / x + ( - 3 / x ) × 1/3 = 1/6

2/x - 1/x = 1/6

1 / x = = 1/6

x = 6 ----( 3 )

Put ( 3 ) in equation ( 2 ),

2 / y = ( - 3 / 6 )

2/y = - 1/2

1 / y = - 1 / 4

y = - 4

Therefore ,

x = 6 ,

y = - 4

I hope this helps you.

:)