Systems of Equations Review

What is the solution?

y= 2x+3

y= -2x-1

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If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Given the problem:

y = 2x + 5

3x + 2y = 10

Step 1:

3x + 2(2x + 5) = 10

What is the next step?

• Subtract 3x from both sides

• Distribute 2

• Add 2x and 5

• Subtract 10 from both sides

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, -1)

On the windowsill is a plant that is 4 inches tall. It is growing 3 inches per week. A second plant, which is 13 inches tall, is on the coffee table. It is growing 2 inches per week. Eventually the two plants will be the same height. How tall will the plants be? How many weeks will that take?

• Each plant will be 9 inches tall after 31 weeks.

• Each plant will be 31 inches tall after 9 weeks.

• Each plant will be 22 inches tall after 4 weeks.

• Each plant will be 4 inches tall after 22 weeks.

Solve the system of equations
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

.A company that teaches self-improvement seminars is holding one of its seminars in Kingwood. The company pays a flat fee of $188 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $98 for the seminar. Once a certain number of attendee register, the company will be breaking even. What will be the company's total expenses and revenues? How many attendees will that take?

• $196 and 2 attendees

• $2 and 196 attendees

• $192 and 4 attendees

• $4 and 192 attendees

Solve the system of equations
y = 5x + 1
y = 3x + 13

• (6, 31)
• (31, 6)
• (4, 21)
• (2, 11)