Intro to Elimination

Solve the following system of equations using the elimination method.

• infinite solutions

• (0, -2)

• no solutions

• (0, 2)

what is the resulting combined equation to the following system:

• 5x = -3

• 10y = -3

• 10x = -3

• 10x = -25

What could we multiply the 1st equation by to eliminate the x variable?

• 3

• 4

• -3

• -4

What could we multiply the 1st equation by to eliminate the y variable?

• 3

• 4

• -3

• -4

What could we multiply the 1st equation by to eliminate the x variable?

x + 6y = 17

x - 3y = 8

• 1

• -1

• 3

• 6

What could we multiply the 2nd equation by to eliminate the y variable?

x + 6y = 17

x - 3y = 8

• 1

• -1

• 2

• 3

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

• only by elimination

What is the resulting equation after adding the 2 equations?

• 5x = -3

• 10y = -3

• 10x = -3

• 10x = -25

Solve the following system of equations using the elimination method: 2x + 3y = 8 4x - 3y = 10

• x = 3

  y = 2/3

• x = 2

  y = 3

• x = 4

  y = -3

• x = 2

  y = -4/3