Solving Equations with Variables on Both Sides

The video tutorial explains how to solve equations with variables on both sides of the equal sign. It demonstrates the process using two examples: 8U = 3U + 35 and 3n + 46 = 1 + 8n. The key strategy is to move all variables to one side of the equation, preferably the side with the larger coefficient, using inverse operations. The tutorial emphasizes the importance of maintaining balance by performing the same operations on both sides of the equation. It also highlights organizational tips for aligning like terms to simplify calculations.

What is the main topic discussed in the video?

• Graphing linear equations

• Solving equations with variables on both sides

• Factoring polynomials

• Solving quadratic equations

In the equation 8U = 3U + 35, which side should you move the variables to?

• It doesn't matter

• The side with the larger coefficient

• The side with the smaller coefficient

• The right side

What is the first step to solve 8U = 3U + 35?

• Multiply both sides by 3

• Divide both sides by 8

• Subtract 3U from both sides

• Add 3U to both sides

After subtracting 3U from both sides in the equation 8U = 3U + 35, what is the resulting equation?

• 11U = 35

• 5U = 35

• 3U = 35

• 8U = 32

What is the final value of U in the equation 8U = 3U + 35?

• 8

• 7

• 6

• 5

In the equation 3n + 46 = 1 + 8n, which side should you move the variables to?

• The side with the smaller coefficient

• The side with the larger coefficient

• It doesn't matter

• The left side

What is the first step to solve 3n + 46 = 1 + 8n?

• Divide both sides by 8

• Subtract 3n from both sides

• Add 3n to both sides

• Multiply both sides by 3

After subtracting 3n from both sides in the equation 3n + 46 = 1 + 8n, what is the resulting equation?

• 46 = 9n

• 45 = 5n

• 49 = 1 + 5n

• 46 = 1 + 5n

What is the next step after obtaining 46 = 1 + 5n?

• Subtract 1 from both sides

• Divide both sides by 5

• Multiply both sides by 5

• Add 1 to both sides

What is the final value of n in the equation 3n + 46 = 1 + 8n?

• 7

• 8

• 9

• 10