Solving Systems by Elimination

Solve the system by multiplication.
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve the system using Multiplication. 
2x + 3y = 12
5x - y = 13

• x = -3, y = -2
• x = 1.5, y = 2
• x = 6, y = 0
• x = 3, y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
-6x+y= -2
-3x-6y= 12

• (2,0)
• no solution 
• (0,-2)
• infinite solutions 

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Which of the following is NOT a method to solve systems?

• Elimination
• Distribution
• Substitution
• Graphing

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Where do these lines intersect?
x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x
• The  y
• The  z
• The unknown

Tags

CCSS.HSA.REI.C.6

What is the first step in solving a system of equations by elimination?

• Get both equations in standard form and line up the like terms.
• Get both equations in slope-intercept form.
• Get both equations equal to zero.
• Put the x terms first.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES
• NO

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the following using elimination.
x − y = 11
2x + y = 19

• (-1, 10)
• (30, 19)
• (19, 30)
• (10, -1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x
• x + y = 1550
  y = x + 4
• y - x = 1550
  y = 4x
• y = 1550 + x
  y = x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3