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Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 

• Infinite number of solutions  
• (6, 5) 
• (−6, −5) 
• (5, −6) 

Solve this systems of equations using elimination. When you type your answer make sure to type your ordered pair without spaces. (x,y).  

5x + 16y = -16

-9x - 8y = 8

Solve this systems of equations using elimination. When you type your answer make sure to type your ordered pair without spaces. (x,y).  

2x + 3y = 6

x + 2y = 5

Solve the system of equations and enter your answer as an ordered pair:

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

• (-1, -1) 
• (2,-1)
• (1,1)
• (1,-1)

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Order the algorithm (steps) to elimination

• Determine the variable to eliminate

• Align like terms vertically

• multiply equation(s) to have opposite coefficients, if necessary

• add vertically

• Solve for variable

A system of two identical (overlapping) lines will have how many solutions?

• One Solution
• Two Solutions
• No Solution
• Infinite Solutions

Use Substitution to solve the system:

x = 2y - 9

2x + 3y = 17

• (1,2)

• (1,5)

• (5,1)

• (2,1)

Use Substitution to solve the system.

x - 3y = -17

5x +3y = -13

• (5,4)

• (4,5)

• (4,-5)

• (-5,4)