Two Step Equations with Variables and Fractions on Both Sides

Solve the equation: 2/3x - 1/4 = 1/2x + 3

• x = 24

• x = 19.5

• x = 12

• x = 30

Solve the equation: 1/2x + 3 = 2/3x - 4

• x = 30

• x = 20

• x = 25

• x = 42

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Solving equations with fractions: Solve for x: 1/2x + 3 = 7

• x = 8

• x = 6

• x = 5

• x = 10

Solving equations with fractions: Solve for y: 2/3y - 4 = 8

• y = 10

• y = 6

• y = 18

• y = 12

Solve the equation.

−18 − 6k = 6(1+ 3k)

• k = -2.67

• k = -1

• k = 1

• k = 6

What should be done after eliminating fractions from an equation?

• Add new fractions

• Simplify the resulting equation

• Multiply by another common denominator

• Ignore the equation

What is the goal of simplifying the resulting equation after clearing fractions?

• To make it more complex

• To have a clear and concise equation

• To add more variables

• To increase the number of fractions

Why is it important to eliminate fractions in an equation?

• To make the equation more complex

• To simplify the equation

• To increase the number of terms

• To add more fractions