Grade 8 Math: Solving by Substitution Method

The video tutorial covers solving linear equations using the substitution method. It begins with an introduction to the concept, followed by two detailed examples demonstrating how to solve systems of equations by substituting one equation into another. The tutorial concludes with a motivational message encouraging students to continue learning.

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

• Combine like terms

• Isolate one variable in one of the equations

• Multiply both equations by a common factor

• Add the equations together

In the example given, what is the value of x when solving the system of equations 3x + 5y = 26 and y = 2x?

• 3

• 5

• 4

• 2

After finding the value of x, how do you find the value of y in the substitution method?

• Divide the value of x by 2

• Add the value of x to the second equation

• Multiply the value of x by 2

• Substitute x back into the original equation

What is the ordered pair solution for the system of equations 3x + 5y = 26 and y = 2x?

• (2, 4)

• (3, 6)

• (1, 2)

• (4, 8)

In the second example, what is the first step to isolate y in the equation -3x + y = 1?

• Subtract 3x from both sides

• Add 3x to both sides

• Divide both sides by 3

• Multiply both sides by -1

What is the value of x in the second example after isolating y and substituting into the second equation?

• 2

• 1

• 3

• 4

How do you verify the solution of a system of equations?

• By dividing the equations by a common factor

• By multiplying the equations by a common factor

• By substituting the values back into the original equations

• By adding the equations together

What is the ordered pair solution for the system of equations -3x + y = 1 and 4x + y = 8?

• (2, 3)

• (3, 5)

• (1, 4)

• (4, 6)

What is the purpose of creating a zero pair in the substitution method?

• To multiply the equation

• To combine like terms

• To eliminate a variable

• To divide the equation

What is the final step in solving a system of equations using the substitution method?

• Combine like terms

• Verify the solution

• Multiply both equations

• Isolate one variable