Are the graphs of any of the equations are parallel or perpendicular? ? - you if you answer

First you want to get y by itself for each equation.

2. 2x + y = -7 > y = -7 - 2x

x - 2y = -4 > y = 2 + 1/2x

4x - y = 5 > y = 4x - 5

The first two equations are perpendicular to each other because the slopes are complete opposites. (for a slope to be perpendicular to another the slope, the sign and the number have to be flipped)

For example:

the slope is -2

the perpendicular slope is 1/2 (positive one half)

the slope is 4/5

the perpendicular slope is -5/4

3. y = 3x

6x - 2y = 7 > y = 3x - 7/2

3y = 9x - 1 > y = 3x - 1/3

All of these equations are parallel to each other because all of their slopes are the SAME (same slope = parallel).

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

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

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.