5.3 Systems of Equations- Elimination

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 

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

Solve the system of Equation (x,y)
3x + 2y = –13
3x + 4y = 1 

• (-9,7)
• (7,-9)
• (4,-7)
• (-7,-4)

If two lines are parallel, how many solutions do they have?

• 1
• 2
• infinite
• none

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

Solve the system using Multiplication. 
2x + 3y = 12
5x - y = 13

• x = -3, y = -2
• x = 1.5, y = 2
• x = 6, y = 0
• x = 3, y = 2

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

• (5, 1)

• (1, 5)

• (5, -1)

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

Solve the system using Multiplication. 
2x + 3y = 12
5x - y = 13

• x = -3, y = -2
• x = 1.5, y = 2
• x = 6, y = 0
• x = 3, y = 2

Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2

• (2,2)
• (-2, -2) 
• (-2,2)
• (2,1)