Question

1/2x-1/y=-1 1/x+1/2y-8=0 x,y≠ 0
solve the linear equation​

Answer 1

Answer:

3;23

Step-by-step explanation:

1/2x+11/x=1/y+1/2y

1+22/2x=2+1/2y

23/2x=3/2y

23(2y)=3(2x)

46y=6x

23y=3x

23y-3x=0

y=3&x=23

Answer 2

Answer:

1/2x - 1/y = -1 --------- equation 1

/2x - 1/y = -1 --------- equation 11/x + 1/2y = 8 -------- equation 2

Multiplying equation 1 with 1/2

1/2(1/2x - 1/y) = -1(1/2)

1/4x -1/2y = -1/2 --------- equation 3

Adding equation 3 and equation 2 we get,

1/4x -1/2y + 1/x +1/2y = -1/2 +8

1/4x +1/x = 15/2

1+4 = 15

4x 2

5/4x = 15/2

60x = 10

x = 1/6

1/x + 1/2y = 8

6 + 1/2y = 8

1/2y = 2/1

1 = 4y

y = 1/4

Thus the value of x is 1/6 and the value of y is 1/4