How do you do solving two-step equasions

The goal of solving two-step equations is to isolate the variable (get it by itself) and solve for the value using the following steps:

1. Add or subtract the constant term from both sides of the equation.

2. Multiply or divide the coefficient from both sides of the equation.

Step-by-step explanation:

Solving equations means using inverse (opposite) operations.  

subtraction - addition

multiplication - division

In order to get the variable by itself, you need to first get rid of the constant (the number by itself) by adding or subtracting from both sides of the equal sign. Then, you multiply or divide by the coefficient of the variable to solve for the variable.  

*See included picture.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)