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Solving with Elimination

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Solving with Elimination
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

7x - y = 10

-7x + y = -14

No Solution

(4, 1)

Infinitely Many Solutions

(2, -4)

Answer explanation

7x - y = 10

-7x + y = -14


All of the like terms have opposite coefficients, so both variables will be eliminated when we add the equations together. We cannot eliminate one without the other.


We are left with:

0=-4


This is a contradiction (false), so there is NO SOLUTION.

Tags

CCSS.8.EE.C.8B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve using Elimination Method:


4x+ 9y = 28

-4x -y = -28

(-7,0)

(6,0)

(-6,0)

(7,0)

(6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve using Elimination Method:


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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

what is the resulting combined equation for the system below?

-18x = 18

y = 18

2y= 18

18x + 2y = 18

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

solve the system

No solution

infinite solutions

(0,0)

(5,1)

(5,0)

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

−4x − 4y = 0

4x + 4y = 0

(−6, −4)

Infinite number of solutions

No Solution

(6, 4)

(0,0)

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by elimination.

6x - y = 2

-3x - 6y = 12

(2,0)

no solution

(0,-2)

infinite solutions

Tags

CCSS.8.EE.C.8B

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