Question

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

Find x and y ​

Answer 1

Your answer is given above.

Hope you find it helpful.

Answer 2

Answer:

x = 1/2 and y = 1/3

Step-by-step explanation:

1)1/2x + 1/3y = 2 ______1

multiplying equation with 3/2 we get

3/4x + 1/2y = 3 ______2

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

subtract eq. 3 from eq.2 we get

3/4x - 1/3x = 3-13/6

(9-4) /12x = 5/6

5/12x = 5/6

CANCELING 5 on both sides

1/12x = 1/6

cross multiplication

12x = 6

x = 1/2

substitute x = 1/2in eq. 1

1/2(1/2) + 1/3y = 2

1 + 1/3y = 2

1/3y = 1

3y = 1

y = 1/3