Introduction to Systems of Equation

Is the ordered pair (2,4) a solution to

Line 1: x + y = -2

Line 2: 3x - y = 2

• Line 1

• Line 2

• The system of equations.

Is the ordered pair (3,-6) a solution to Line 1: x - y = 9 Line 2: 3x + 3y = 3

• Line 1

• Line 2

• The system of equations.

Use the substitution method to determine when Alejandro and Carly will have read the same number of pages.

Alejandro read 1 page per minute and he has read 28 pages for far . Carly who has a reading speed of 2 pages per minute , has read 12 pages so far.

• 16 minutes

• 44 minutes

• -16 minutes

• -44 minutes

Parabola Skate Rental rents skate boards for $4.50 per hour with a fee of $35. Arc of Hawk Skate Rental rents skateboards for $5.25 per hour with a rental fee of $25. Determine when the two skateboard rentals will cost the same.

• (13.3, 95)

• (-13.3,-95)

• (-95,-13.3)

• (95,13.3)

What is the slope of Line 2? Line 1: 2x - y = -3 Line 2: -6x - 2y = -6

• 3

• -3

• -6

• 2

What is the solution to the system of linear equations?

How many solutions does the system of equations have?

• one solution

• no solutions

• infinetly many solutions

• you cannot graph two lines

When a system of equations has infinitely many solutions, what does that mean ? 

• The lines cross once

• The lines never cross

• The lines are exactly the same

• Systems of equations cannot have infinite solutions

Using the given system of linear equations, determine the number of possible solutions by observation.

•  One Solution 

• No Solution

• Infinite Solutions

Using the given system of linear equations, determine the number of possible solutions by observation.

•  One Solution 

• No Solution

• Infinite Solutions