Solving Systems of Linear Equations

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve by elimination
2x + 9y = -7
6x - 3y = 9

• (-1, -1)

• (2,-1)

• (1,1)

• (1,-1)

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

• (6,-9)

• (-9,6)

• No solution

• Infinite number of solutions

Solve the system by elimination.
  5x + 8y = -12
3x + 5y = -7

• (1, -10)

• No solution

• (-4, 1)

• (1, 10)

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

5x - y = 12

3x + y = 4

which variable should be "eliminated" first?

• x

• y

5x - y = 12

3x + y = 4

Will you add or subtract to "eliminate" the y variable?

• add

• subtract

6x + 7y = -15

6x - 2y = 12

which variable should be "eliminated" first?

• x

• y

6x + 7y = -15

6x - 2y = 12

Will you add or subtract to "eliminate" the x variable?

• add

• subtract