Question

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

Answer 1

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

Answer 2

Answer:

$y = \frac{-2x}{7} - \frac{12}{7}$

The coefficient of x is $-\frac{2}{7}$ and the constant is $-\frac{12}{7}$.

Step-by-step 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:

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

$2x + 7y + 12 = 0$

$7y = -2x - 12$

$y = \frac{-2x}{7} - \frac{12}{7}$

The coefficient of x is $-\frac{2}{7}$ and the constant is $-\frac{12}{7}$.