Systems of Equations

Which solution represents the following equation in slope-intercept form?

2x + y = 8

• 2x - 8 = y

• y = -2x + 8

• y= -2x - 8

• 2x + 8 = y

What is the solution?

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

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

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

• Parallel lines
• the same line 
• Intersecting lines

A system of equations is shown

x = 10

3x + 5y = 20. In the system of equations, what is the value of y?

• y = 4

• y = 5

• y = -4

• y = -5

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

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

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