Question

Solve the proportion for the variable 6/y= 9/33

Answer 1

`\bold{Hey\ there!}`

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  `\bold{(6)/(y)=(9)/(33)}`

• 
  `\bold{First, you\ have \ to \ 'cross \ multiply'}`
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  `\bold{Like\rightarrow 6*33=9* y}`
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  `\bold{6*33=198}`
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  `\bold{9* y=9y}`
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  `\bold{Your\ problem\ becomes: 9y=198}`
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  `\bold{Next, we\ have\ to \ DIVIDE\ by\ 9\ on\ each\ of \ your\ sides!}`
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  `\bold{Like\rightarrow (9y)/(9)=(198)/(9)}`
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  `\bold{Cancel\ out:(9y)/(9)\ because\ it \ equals\ 1}`
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  `\bold{Keep:(198)/(9)\ because\ it\ gives\ us\ the \ answer}`
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  `\boxed{\boxed{\bold{Answer:y=22}}}\checkmark`

`\bold{Good \ luck \ on \ your \ assignment \&}`
`\bold{enjoy\ your \ day!}`

`\frak{LoveYourselfFirst:)}`

Answer 2

Answer:
`y=22`

Explanation:

1. Multiply by y both sides of the equation, as following:

`(6y)/(y)=(9y)/(33)\\\\6=(9y)/(33)`

2. Now you must multiply by 33 both sides of the equation, as following:

`6*33=(9y)/(33)*33\\198=9y`

3. Now you must divide both sides of the equation by 9. Therefore, you obtain:

`(198)/(9)=(9y)/(9)\\y=22`