Solving Systems of Equations in Grade 8

This video tutorial focuses on solving systems of linear equations using the substitution method. It begins with an introduction to the concept of solving systems without graphing, followed by a detailed example using substitution. The video explains the substitution method, provides a practice problem, and concludes with a summary of the key points covered.

What is the primary focus when solving systems of equations without graphing?

• Drawing detailed graphs

• Memorizing the equations

• Using algebraic methods to find solutions

• Finding the intersection point on a graph

In the system y = 2x + 6 and y = -3x - 4, what is the first step to find the value of x?

• Graph the equations

• Add 3x to both sides

• Divide both sides by x

• Subtract 6 from both sides

What technique involves replacing a variable with an expression it equals?

• Graphing

• Substitution

• Integration

• Elimination

In the substitution method, after substituting y = 5x into 2x - y = 9, what is the value of x?

• 0

• 5

• -3

• 3

What is the solution to the system where y = 5x and 2x - y = 9?

• (3, 15)

• (-3, -15)

• (5, 25)

• (0, 0)

In the system y = 2x - 3 and x + 2y = 7, what expression is substituted for y?

• 2x + 3

• x + 3

• 2x - 3

• x - 3

After substituting in the system y = 2x - 3 and x + 2y = 7, what is the value of x?

• 11/5

• -3/5

• 3/5

• 13/5

What is the final solution for the system y = 2x - 3 and x + 2y = 7?

• (13/5, 11/5)

• (11/5, 13/5)

• (-3/5, -2/5)

• (3/5, 2/5)

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

• To eliminate one variable

• To simplify the equations

• To graph the equations

• To complicate the solution process

Which of the following is a correct application of the substitution method?

• Substituting y = 5x into 2x - y = 9

• Substituting y = x into x + y = 9

• Substituting x = 5y into y - 2x = 9

• Substituting 2x = y into x + y = 9