Question

Solve 2x+1-3/10-2x/15=x-2/6 hence find value of y if 1/x+1/y = 3

Answer 1

Step-by-step explanation:

Given,

1/x+1/y=3

1/x=3-1/y

x=3-1/y

so,

substituting the value of x in the above given equation----------

2(3-1/y)+1-3/10-2(3-1/y)/15=(3-1/y)-2/6

6-2/y-2/10-6+2y×15=3y-1/y-1/3

6y-2-2y/y/10y-6y+2/y×15=9y-3-y/3y

4y-2/y/4y-2/y×15=8y-3/3y

4y-2/4y+2×15=8y-3/3y

4y/2×15=8y-3/3y [reversing dividendo componendo]

30y=8y-3/3y

30y=8y/3y-3/3y

15y=8/3-1/y

45y/4=-1/y

45y^2=-4

-45y^2=4

-45y=+-2

y=-2/45

so, value of y is -2/45