Subtract: (3x + 5y - 4) -(4x + 11)

Step-by-step explanation:

Simplifying

(3x + 5y + -4) + -1(4x + 11) = 0

Reorder the terms:

(-4 + 3x + 5y) + -1(4x + 11) = 0

Remove parenthesis around (-4 + 3x + 5y)

-4 + 3x + 5y + -1(4x + 11) = 0

Reorder the terms:

-4 + 3x + 5y + -1(11 + 4x) = 0

-4 + 3x + 5y + (11 * -1 + 4x * -1) = 0

-4 + 3x + 5y + (-11 + -4x) = 0

Reorder the terms:

-4 + -11 + 3x + -4x + 5y = 0

Combine like terms: -4 + -11 = -15

-15 + 3x + -4x + 5y = 0

Combine like terms: 3x + -4x = -1x

-15 + -1x + 5y = 0

Solving

-15 + -1x + 5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + -1x + 15 + 5y = 0 + 15

Reorder the terms:

-15 + 15 + -1x + 5y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + -1x + 5y = 0 + 15

-1x + 5y = 0 + 15

Combine like terms: 0 + 15 = 15

-1x + 5y = 15

Add '-5y' to each side of the equation.

-1x + 5y + -5y = 15 + -5y

Combine like terms: 5y + -5y = 0

-1x + 0 = 15 + -5y

-1x = 15 + -5y

Divide each side by '-1'.

x = -15 + 5y

Simplifying

x = -15 + 5y

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)