Simultaneous Equations

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:

2x + 5y = 29

x + 5y = 22

• x = 7

  y = 3

• x = -7

  y = -3

• x = 7

  y = -3

• x = -7

  y = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:

3x - 4y = 26

2x - 4y = 20

• x = 6

  y = -2

• x = -6

  y = -2

• x = -6

  y = 2

• x = 6

  y = 2

Tags

CCSS.HSA.REI.C.9

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

• 59 adults and 141 children
• 40 adults and 160 children
• 60 adults and 140 children
• 41 adults and 159 children

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Solve

 $3x\ +\ 4y\ =\ 7$  

 $5x-2y=16$  

•  $x\ =\ 3,\ y\ =\ -\frac{1}{2}$  

•  $x=-3,\ y\ =\ \frac{1}{2}$  

•  $x=\frac{1}{2},\ y=-3$  

•  $x=-\frac{1}{2},\ y=-3$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve
 $y=\frac{1}{2}x+2$ 

 $2y+3x=12$  

•  $x=2,\ y=3$  

•  $x=3,\ y=2$  

•  $x=1.5,\ y=4$  

•  $x=5,\ y=1$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Tags

CCSS.8.EE.C.8A

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.8.EE.C.8A

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

• (-4, -2)

• (12, -34)

• (4, -18)

• (-2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6