11th Grade October Quiz

What can be done to one of the equations below in order to be able to eliminate a variable?

4x + 3y = 22

2x -y = -14 

• Multiply the first equation by 4

• Multiply the second equation by 4

• Multiply the first equation by 3

• Multiply the second equation by 3

What can be done to one of the equations below in order to be able to eliminate a variable?

6x + 4y = 14

-9x - 8y = -25

• Multiply the first equation by 6

• Multiply the second equation by 6

• Multiply the first equation by 2

• Multiply the second equation by 2

Solve by elimination:

6x - 16y = -8

2x + 8y = -16

• (4, 1)

• (4, -1)

• (-4, 1)

• (-4, -1)

 

Solve  the system of equations.      

x + 5y = -27

-2x - 5y = 24

• (3, 6)

• (-3, -4)

• (-3, -6)

• (3, -6)

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (2, 0)

• (0, -2)

How many solutions will this system have? 

• One Solution

• No solution

• Infinitely Many Solutions

• I Don't Know

 

Solve for the following system using substitution

y=−2x+18  

y=8

• (2, 8)

  x=2

  y=8

• (5, 8)

  x=5

  y=8

• (-5, 8)

  x= -5

  y= 8

• (-2, 8)

  x= -2

  y=8

 

Solve for the following system using substitution

2x-y=4

y=-2x+8

• x=8

  y=-2

• x=11

  y=-2

• x=3

  y=-2

• x=5

  y=-2

How many solutions does this system of equations have?

• One Solution

• No solution

• Two Solutions

• Infinitely Many Solutions

 If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• The same line 

• Intersecting lines