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.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve:

3x + 5y = 4

4x - 5y = -18

• x = -2

  y = 2

• x = -2

  y = -2

• x = 2

  y = -2

• x = 2

  y = 2

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve:

2x + 3y = 5

x + 3y = 7

• x = -2

  y = 3

• x = -2

  y = -3

• x = 2

  y = 3

• x = 2

  y = -3

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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.HSA.REI.C.6

CCSS.8.EE.C.8B

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.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve
 $3x+y=1$  
 $x-2y=19$  

•  $x=-4,\ y=3$  

•  $x=3,\ y=-4$  

•  $x=3,\ y=-8$  

•  $x=4,\ y=8$  

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve by substitution:
 $y=-3x+5$ 
  $5x-4y=-3$  

• (1, 2)

• (1, 1)

• (2, 1)

• (2, 2)

Tags

CCSS.HSA.REI.C.6

Solve by substitution:
 $2x-3y=-1$ 
  $y=x-1$  

• (3, 4)

• (4, 3)

• (4, 4)

• (3, 3)

Tags

CCSS.HSA.REI.C.6

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

• 35

• 15

• 22

• 43

Tags

CCSS.8.EE.C.8C

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Tags

CCSS.8.EE.C.8C