Systems of Linear Equations

Solve the System: write your answer as an ordered pair with no spaces (x,y)

y=-2x-4

y=2x-4

How many solutions does this system have

y= -6x-8

y= -6x+8

• Many (same line)

• one

• none (parallel)

• two

How many solutions does this system have?

3x-y=6

-3x+y=-6

• one

• none (parallel)

• many (same line)

• two

What is the solution to the system of equations?

2x + 3y = 8

4x - 5y = -6

• (1, 2)

• (2, 1)

• (3, 4)

• (4, 3)

What is the solution to the system of equations?

2x + 3y = 7

4x - 5y = 1

• (1, 2)

• (2, 1)

• (3, 4)

• (4, 3)

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

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

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting 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