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 involving equations with two and three variables. The tutorial emphasizes understanding the role of coefficients and constants in solving equations.

What is the first step in solving an equation with multiple variables?

• Divide all terms by the largest coefficient

• Add all variables together

• Isolate one variable

• Multiply all terms by zero

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

• Addition of 5x

• Addition of -5x

• Multiplication by 5

• Subtraction of 5x

Why can't 15 and -5x be combined in the equation 5x + 3y = 15?

• They are different types of terms

• They are both constants

• They are both variables

• They are both coefficients

What is the result of dividing 3y by 3 in the equation 5x + 3y = 15?

• y

• 3y

• 0

• 15

How is the equation 5x + 3y = 15 rearranged into slope-intercept form?

• y = 5x - 5/3

• y = -5/3x + 5

• y = 3/5x - 5

• y = 5/3x + 5

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

• Divide both sides by C

• Multiply both sides by 2

• Subtract B from both sides

• Add B to both sides

What is the result of dividing -2a by -2 in the equation B - 2a = C?

• a

• 2a

• 0

• -a

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 4

What is the result of dividing 3M by 3 in the equation 4N = 3M - 1?

• M

• 3M

• 0

• 1