Systems Substitution and Elimination Method

Solve:

x = -3y - 17

2x + 3y = -7

• (1, -2)

• (3, 0)

• (-5, -2)

• (10 , -9)

• (10, 2)

A ________________ are two or more equations that have the same variables and work together.

• graphing lines

• elimination method

• system of equations

• table

• slope intercept form

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

do you see a zero pair to eliminate?

2x - 6y = 20

2x + 5y = -11

• no

• yes

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

-2x + 6y = -20

2x + 5y = -11

what is the combined resulting equation?

• x + 11y = -31

• 11y = -31

• 11x = -31

• 4x + 11y = -31

• i need tutorials

5x - 4y = 11

5x + 4y = -14

which variable will be eliminated?

• x

• y

• none!!!!!!!

• both

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

x - y=11

2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4)