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 + 3y = 5

x + 3y = 7

• x = -2

  y = 3

• x = -2

  y = -3

• x = 2

  y = 3

• x = 2

  y = -3

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
 $3x-4y=11$ 
 $5x+6y=12$  

•  $x=0.5,\ y=-3$  

•  $x=3,\ y=0.5$  

•  $x=3,\ y=-0.5$  

•  $x=6,\ y=2$  

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to the system?

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Penny buys 5 adult tickets and 3 child tickets for the theatre. The tickets cost her a total of £164. Barney buys 4 adult tickets and 4 child tickets at a total cost of £152. Find the cost of one adult ticket and one child ticket.

• Adult = £25

• Child = £17

• Adult = £34

• Child = £13

Where do these two lines intersect?

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

Tags

CCSS.8.EE.C.8B

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

Make:

x the subject of  $y=4x^2-7$  

• x = (y+7) / 4

•  $x\ =\ 4y^2-7$  

•  $x=\sqrt{\frac{y-7}{4}}$  

• x =  $\sqrt{\frac{y+7}{4}}$