Solving Equations with Variables on Both Sides

This video tutorial teaches how to solve equations with variables on both sides. It provides examples, including handling fractional coefficients and switching variable sides for convenience. The tutorial emphasizes the importance of maintaining balance in equations and offers practice problems for reinforcement.

What is the first step in solving the equation 9m = 5m + 8?

• Multiply both sides by 5

• Divide both sides by 9

• Subtract 5m from both sides

• Add 5m to both sides

After subtracting 5m from both sides in the equation 9m = 5m + 8, what is the resulting equation?

• 4m = 8

• 4m = 0

• 9m = 8

• 5m = 8

What is the final value of m in the equation 9m = 5m + 8?

• m = 1

• m = 4

• m = 2

• m = 8

What operation is used to eliminate the fractional coefficient in the equation -7 = 1/2x?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the value of x in the equation -7 = 1/2x after eliminating the fractional coefficient?

• x = -14

• x = 7

• x = 14

• x = -7

Why did the instructor choose to switch the sides of the variable and constant terms in the second example?

• To make the equation more complex

• To avoid negative coefficients

• To simplify the constant terms

• To make the variable terms negative

What is the result of subtracting 1x from both sides in the alternative approach?

• 1/2x - 1x = 1/2x

• 1/2x - 1x = -1/2x

• 1/2x - 1x = 0

• 1/2x - 1x = 1x

What is the final value of x in the alternative approach?

• x = 7

• x = -14

• x = -7

• x = 14

In the practice problem part a, what is the final value of x?

• x = 1

• x = 2

• x = 4

• x = 8

In the practice problem part b, what is the final value of a?

• a = 2

• a = -3

• a = 3

• a = -2