Question

Simplify the expression 7y+4×+4-2×+8. What is the coefficient of x? What is the constant?

Answer 1

`y = (-2x)/(7) - (12)/(7)`

The coefficient of x is
`-(2)/(7)` and the constant is
`-(12)/(7)`.

Explanation:

We want to simplify this expression to a first order function in the following format:

`y = ax + b`

In which a is the coefficient of x and b is the constant.

We add the common terms and then we write y as a function of x and the constant. So:

`7y + 4x + 4 - 2x + 8 = 0`

`2x + 7y + 12 = 0`

`7y = -2x - 12`

`y = (-2x)/(7) - (12)/(7)`

The coefficient of x is
`-(2)/(7)` and the constant is
`-(12)/(7)`.

Answer 2

In order to simplify the expression we should put y on one side of the equation and all other elements on the other side.
7y+4x-4-2x+8=0
7y=-4x+4+2x-8
7y=-2x-4
Now, we should get only y on the left side of the equation, so we divide the whole equation by 7.
y==2/7x-4/7
The coefficient of x is: -2/7
the constant is -4/7