Systems of Equations Study Guide

Solve by elimination

x + y = 3

3x + y = 5

• (1,2)

• (-1,-2)

• (2,1)

• (-1,2)

What is the solution of this system of equations using graphing?

• (0, 2)

• (2, 0)

• No Solution

• NO CLUE!

Solve the following system by elimination. What is the solution?

• (1, -2)

• (-2, 1)

• (-4, 1)

• (2, 1)

Solve by elimination:
9x-4y=7

x-4y=-17

• (-1,5)
• (-7,5)
• (7,5)
• (3,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations by elimination.

x + y = 8

3x + 2y = 8

• x = -8

• y = 16

• (-8, 16)

• no solution

Solve the system of equations by substitution.

y = 3x+1

y = 5x - 17

• (8, 25)

• (-9, -26)

• (9, 28)

• x = 9

Solve for x and y by elimination.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

Tags

CCSS.HSA.CED.A.3

Solve the system by substitution:

y = -2x + 5

y = 2x - 11

• No Solution

• (0, 0)

• (3, -1)

• (4, -3)