Solving Linear Equations Steps

This video tutorial explains how to solve linear equations with variables on both sides by transforming them into single variable two-step equations. The process involves moving variables to one side using addition or subtraction, then solving the resulting equation by handling coefficients through multiplication or division. Two examples are provided to illustrate the method, including steps to simplify the final answer. The tutorial emphasizes the importance of uniting variables and reducing fractions to their lowest terms.

What is the first step in solving linear equations with variables on both sides?

• Multiply both sides by the coefficient

• Convert the equation into a single variable two-step equation

• Add a constant to both sides

• Divide both sides by a constant

What is the purpose of converting equations into single variable two-step equations?

• To increase the number of steps

• To eliminate variables

• To simplify the solving process

• To make them more complex

When moving variables to one side of the equation, which operations are typically used?

• Logarithms and trigonometric functions

• Multiplication and division

• Addition and subtraction

• Exponentiation and root extraction

What should you do after uniting the variables in a linear equation?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Solve the resulting two-step equation

• Add a constant to both sides

What should you do if the coefficient is negative when solving a two-step equation?

• Divide both sides by the negative coefficient

• Multiply both sides by the negative coefficient

• Subtract the coefficient from both sides

• Add the coefficient to both sides

In Example 1, what operation is performed to combine the x terms?

• Divide both sides by 8

• Subtract 8x from both sides

• Add 8x to both sides

• Multiply both sides by 8

After combining the x terms in Example 1, what is the next step?

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 4 from both sides

• Add 4 to both sides

What is the final value of x in Example 1?

• 12

• 1/3

• 5

• 12/5

In Example 1, what is the equation after combining the x terms?

• 5x - 4 = 16

• 3x + 4 = 16

• 8x + 4 = 16

• 5x + 4 = 16

In Example 2, what operation is used to unite the x terms?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2x from both sides

• Add 2x to both sides