Systems of Equations by Elimination

Solve using Elimination Method:

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Solve by elimination:

7x - 9y = 29

7x + 2y = - 15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)

Solve for x

Hint: Solve using Elimination Method:

• 1/2

• 1

• -1

• -1/2

What is the solution to this system of equations?

4x + y = 6

x - 2y = 6

• (2,-2)

• (1,2)

• ( 1/2 , 4 )

• (-2,2)

• (2, 4)

solve the system

• No solution

• infinite solutions

• (0,0)

• (5,1)

• (5,0)

Solve by elimination.

6x - y = 2

-3x - 6y = 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

Paula is about to solve the system of equation below using elimintation. What should be her first step?

• Multiply the top equation by -3 to cancel the y's when she adds.

• Multiply the bottom equation by -3 to cancel the y's when she adds.

• Multiply the top equation by 3 to cancel the y's when she adds.

• Multiply the bottom equation by 3 to cancel the y's when she adds.

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Solve the system using any method. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative