6.2.1 Substitution Methods

Categorize

Options (5)

y = -4

y = 3

x = -10

x = 7

y = 2x +4

Sort the equations into the correct categories for horizontal and vertical lines

Horizontal Lines

Vertical Lines

Neither

Graphing

Solve the system

y = -2x-4

y=2

What is the solution?

Draw

Solve the system

y = -2x-4

y = 2

What is the solution?

Check your answer using the graph

Dropdown

Does the system of equations have no solution, one solution or infinitely many solutions?

y=2 and y= -3​

Select answer

y= 1 and y= 1​

Select answer

y= -1 and y=2x+4​

Select answer

Reorder

Order the steps to show how to solve a linear system x = 5 and y = 2x + 3.

• Substitute x = 5 into the equation y = 2x + 3.

• The resulting equation is y = 2(5) + 3. Solve for y.

• The value of y is 13

• Write the solution as the point (5,13).

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

What is the solution to the system of equations y = 10 and y = 3x – 5?

• Infinitely many solutions

• No Solution

• (5, 10)

• (10, 5)

Multiple Choice

Which of the following equations correctly uses the transitive property to write the two equations in slope-intercept form into a single equation?

y = 2x + 4

y = 3x – 2

• 2x+4=3x-2

• 2x=3x

• y=3x-2+2x+4

• 2x+3x+4-2=y

Draw

Solve the system

y = -x+4

y = 4x-1

What is the solution?

Check your answer using the graph

Multiple Choice

Using the substitution method, what is the solution to the system of linear equations?

$$y=\frac{1}{4}x+3\ and\ y=\frac{1}{4}x-6$$

• (0, -6)

• No solution

• (3, -6)

• Infinitely many solutions

Draw

Averi was asked to solve the system of equations below.

y = 8x – 6

y = 2(4x + 4) – 2

Averi found that there are infinitely many solutions. Is she correct?

Open Ended

Did you understand today's lesson?

AND

What is something fun, interesting or new that you learned about in class today?

Fill in the Blanks

Exit Ticket: What is the solution to the linear system?

y = 2x + 35

y = -x + 50

(x, y)