Solving Linear Equations and Variables

This video tutorial teaches how to solve equations with multiple variables. It covers the process of isolating a specific variable using inverse operations, demonstrated through examples with equations involving two and three variables. The tutorial emphasizes understanding the role of coefficients and constants in solving equations.

What is the first step in solving equations with multiple variables?

• Combine all like terms

• Use inverse operations to isolate one variable

• Isolate the constant term

• Multiply all terms by the same number

In the equation 5x + 3y = 15, what operation is used to eliminate 5x?

• Multiplication by 5

• Addition of -5x

• Subtraction of 5x

• Addition of 5x

After eliminating 5x in the equation 5x + 3y = 15, what is the resulting equation?

• 3y = 15 + 5x

• 3y = 15 - 5x

• 3y = 15

• 3y = -5x

How do you isolate y in the equation 3y = 15 - 5x?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the final form of y in the equation 5x + 3y = 15?

• y = 5 - 5x

• y = 5 + 5/3x

• y = 5/3 - 5x

• y = 5 - 5/3x

In the equation B - 2a = C, what is the first step to solve for a?

• Add B to both sides

• Subtract B from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the resulting equation after subtracting B from both sides in B - 2a = C?

• -2a = C - B

• -2a = C + B

• 2a = C + B

• 2a = C - B

How do you isolate a in the equation -2a = C - B?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by -2

• Divide both sides by -2

What is the final form of a in the equation B - 2a = C?

• a = -1/2C + 1/2B

• a = 1/2C - 1/2B

• a = -1/2C - 1/2B

• a = 1/2C + 1/2B

In the equation 4N = 3M - 1, what is the first step to solve for M?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 3

• Divide both sides by 3