Standard form/Substitution

-y=x+3

• x+y=3
• x+y=-3
• -x-y=3
• -3=x+y

13-6x-y=0

• -6x-y=-13
• 13-6x=y
• 6x+y=13
• y=-6x+13

-6x-10y-40=0

• -6x-10y=40
• 6x-10y=40
• 6x+10y=-40
• 6x+10y=40

-16x=2y-10

• 8x+y=5
• -16x-2y=10
• 16x+2y=-10
• 8x-y=-5

-2x+20=-5y 

• 2x+5y=20
• 2x-5y=20
• 20=2x-5y 
• -2x+5y=-20

2=y-2x  

•  y-2x=2  
•  2x-y=2  
• 2x-y=-2 
• 2x+y=2

-5x=y+4  

• 5x-y=4  
• -5x-y=4 
• 5x+y=-4 
• 5x-y=-4

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

Example 1

Step 4:

What is the solution to the system:

y = 6x

2x + 5y = 32

Given I got x = 1 from step 2 and y = 6 from step 3.

• (1, 6)

• (6, 1)