Solve System of Equations Elimination

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

4x + 8y = 20
−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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

• The  x

• The  y

• The  z

• The unknown

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution of the system of linear equations
5x - 3y = -18
x - 6y = -9

• (-3, 1)

• (1, -3)

• (-3, 0)

• (3, -1)

Tags

CCSS.HSA.REI.C.9

Find the solution using the elimination method. (Write your answer as an ordered pair, i.e. (1,1)

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution using the elimination method. (Write your answer as an ordered pair, i.e. (1,1)

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of linear equations 
5x - 3y = -36
2x + 3y = 15

• (-3, 7)

• (-3, -5)

• (7, -3)

• (-3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the solution of the system of linear equations
3x - 2y = 12
2x + y = 1

• (-2, -3)

• (2, 0)

• (2, -3)

• (-3, 2)

Tags

CCSS.HSA.REI.C.9

Solve the system of linear equations
-2x - 10y = 22
2x + 5y = -12

• (-2, -1)

• (-4, -2)

• (4, -2)

• (-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6