Question

Solve 11−1/2y=3+6x for y.

Answer 1

11-1/2y=3+6x

11-1/y=2(3+6x)

10/y=6+12x

Y=10/6+12x

Answer 2

Remark:

1. In this problem, we cannot find any exact solutions for y; the only thing we can do is to express y in the form of x, where any real value of x would give an exact solution for y.

2. You can find another expression for y in the form of x solved by other user.

Step-by-step explanation:

The given equation is

11 - (1/2)y = 3 + 6x

or, 11 - y/2 = 3 + 6x

or, (22 - y) / 2 = 3 + 6x

or, 22 - y = 2 (3 + 6x)

or, 22 - y = 6 + 12x

or, y = 22 - (6 + 12x)

or, y = 22 - 6 - 12x

or, y = 16 - 12x

This is the required solution for y.

Checking for any value:

As we have talked already about any arbitrary solution for y using any x; we take x = 1. Then from the final expression, we get

y = 16 - 12 (1)

= 16 - 12

= 4

Therefore when x = 1, y = 4