Finding Solution with Elimination

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

Solve by elimination:
4x+4y=4

3x+4y=10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Solve by elimination 
-12x-10y= 0 
 6x+5y= -1

• infinite solutions

• (0,0)

• no solution 

• (2,1)

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

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

7x + 3y = -6

-7x - 3y = 6

• (-3, -5)

• (-3, 5)

• (0, -2)

• Infinite Solutions

• No Solutions

Solve the system

y = -x - 4

y = x - 2

• ( -1, -3 )

• No solution

• Infinitely many solutions

• ( 1, 3 )

What do you have to multiply the first equation by to have the x's be opposite and the same?

• 3

• 2

• -2

• -3

Solve the system of Equation (x,y)
x + 4y = –3
 x + 7y = –12 

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

What is the next step in solving this system by elimination?
2x + 3y = 9
5x + 3y = 21

• Nothing - it is ready to go.

• Multiply one equation by -1

• Multiply the top equation by 3.

• Multiply the bottom equation by 7.

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution