Review of System of Equations and Inequalities

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

• (6, 5)

• (5, 6)

• (4, 4)

• (2, 4)

What is the solution to the system?

• (-1, 4)

• (3, 0)

• (4, 1)

• (0, -1)

Graph the system.

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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

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

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Which point is a solution to the system of inequalities?

• (-8,2)

• (-3, 1)

• (0,6)

• (4, 3)

Pick the ordered pair that is NOT a solution

• (0,0)

• (1,-1)

• (2,0)

• (4,-4)

This system of linear equations is graphed as shown. 3x+y=2 x+3y=-18 What is the solution to this system of equations?

Tags

7 Systems of Equations

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

• (1, 5)

• (5, 1)

• (0.25, 2)

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