Solving Systems of Equations with Substitution Techniques

The video tutorial covers solving systems of equations using substitution, focusing on problems involving fractions. It provides step-by-step solutions to three example problems, including one with infinite solutions. The tutorial emphasizes understanding the substitution method and handling fractions effectively.

What is the first step in solving a system of equations by substitution?

• Solve one of the equations for one of the variables.

• Add the equations together.

• Multiply both equations by a common factor.

• Graph the equations.

In the first example, what is the value of y when x is -1?

• 2

• 3

• 4

• 5

What is the simplified form of 4 / -6?

• -2/3

• 3/2

• 2/3

• -3/2

What is the final answer for the first example problem?

• (-1, 2)

• (1, 3)

• (-1, 3)

• (1, -3)

In the second example, what is the value of x when y is -3?

• -3

• -2

• -5

• -4

What is the simplified form of 5y / 6?

• 5/6 y

• 6/5 y

• y/6

• y/5

What is the final answer for the second example problem?

• (-4, -2)

• (-4, -3)

• (-2, -4)

• (-3, -4)

In the third example, what does it mean when -30 equals -30?

• Infinite solutions

• Undefined

• No solution

• One solution

What is the value of y in the third example problem?

• -5

• -4

• -3

• -2

What is the purpose of using substitution in solving systems of equations?

• To find the y-intercept

• To find the slope

• To graph the equations

• To eliminate one variable