Solving Systems Review

What does it mean to "solve a system"?

• Find the point that satisfies one of the equations.

• Find the point that satisfies all of the equations.

• Rewrite the equations in "y=" form.

• Rewrite the equations in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution of this system?

• (0,0)

• (2,4)

• same line; infinite solutions

• parallel lines; no solution

Tags

CCSS.8.EE.C.8B

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

7x-9y=29

7x+2y=-15

• (-4,-1)

• (-1,-4)

• (-1,4)

• (-1,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system:
 $y=4x+5$  
 $2x+3y=43$  

• (3,17)

• parallel; no solution

• (2,8)

• (2,13)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

Solve this system:
 $5x+3y=8$ 
 $3x-3y=0$  

• (1,3)

• (1,-3)
  

• (1,1)

• (8,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)
• (-7 ,5)
• (3, 15)
• (9, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system:
 $5x+3y=8$ 
 $3x-3y=0$  

• (1,3)

• (1,-3)
  

• (1,1)

• (8,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6