#5.3 Solving Systems of Linear Equations by Elimination

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Subtract the equations to eliminate y

• Multiply the second equation by 3.

• Multiply the first equation by 2

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CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 3

• Add the equations to eliminate x

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by $-3$

• Add the equations to eliminate x

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 2

• Add the equations to eliminate x

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CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

The solution to a system of linear equations is ALWAYS...

• a fraction

• an ordered pair

• a decimal

• a negative number

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system by the elimination method.

• $\left(7,21\right)$

• $\left(3,-1\right)$

• $\left(1,4\right)$

• $\left(-2,5\right)$

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CCSS.HSA.REI.C.6

Solve the system by the elimination method.

• $\left(-2,9\right)$

• $\left(3,-6\right)$

• $\left(4,3\right)$

• $\left(5,2\right)$

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system by the elimination method.

• $\left(6,-2\right)$

• $\left(3,2\right)$

• $\left(-4,2\right)$

• $\left(5,-4\right)$

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CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

• $x+y=6$
  $x+y=3$
  

• $x+6y=29$
  $x+3y=24.5$
  

• $x+y=29$
  $x+y=24.5$
  

• $x+y=29$
  $x+9y=24.5$
  

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

The sum of two numbers is 22. The difference of two numbers is 6.

Which system can be used to solve this problem?

• $x+y=22$
  $x+y=6$
  

• $x-y=22$
  $x-y=6$
  

• $x+y=22$
  $x-y=6$
  

• $2x-y=28$
  $x+2y=28$
  

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6