given that 6(y+3) = 2(x+9, find the ratio of x to y

Question

given that 6(y+3) = 2(x+9, find the ratio of x to y

 

 

 

 

 

 

 

 

 

Answer 1

actually you don't even need to go that far

 

6(y+3) = 2(x+9)

 

1. first simplifiy

 

6*y + 6*3 = 2*x + 2*9

 

6y + 18 = 2x + 18

 

2. subtract 18 from both sides, and actually the 18s cancel out

 

6y = 2x

 

you can stop there

 

ration is

 

6:2 or 6y:2x or 6:2 given x:y

 

Answer 2

6(y+3) = 2(x+9)

 

First, multiply (distribute) the two constants across the terms in parentheses:

 

6y + 18 = 2x + 18

 

Next, subtract 18 from both sides:

 

6y = 2x

 

Divide both sides by 2:

 

3y = x

 

Divide both sides by y:

 

3 = x/y