Respuesta :

Answer: [tex]y=22[/tex]

Step-by-step explanation:

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

[tex]\frac{6y}{y}=\frac{9y}{33}\\\\6=\frac{9y}{33}[/tex]

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

[tex]6*33=\frac{9y}{33}*33\\198=9y[/tex]

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

[tex]\frac{198}{9}=\frac{9y}{9}\\y=22[/tex]

[tex]\bold{Hey\ there!}[/tex]

  • [tex]\bold{\frac{6}{y}=\frac{9}{33}}[/tex]
  • [tex]\bold{First, you\ have \ to \ 'cross \ multiply'}[/tex]
  • [tex]\bold{Like\rightarrow 6\times33=9\times y}[/tex]
  • [tex]\bold{6\times33=198}[/tex]
  • [tex]\bold{9\times y=9y}[/tex]
  • [tex]\bold{Your\ problem\ becomes: 9y=198}[/tex]
  • [tex]\bold{Next, we\ have\ to \ DIVIDE\ by\ 9\ on\ each\ of \ your\ sides!}[/tex]
  • [tex]\bold{Like\rightarrow \frac{9y}{9}=\frac{198}{9}}[/tex]
  • [tex]\bold{Cancel\ out:\frac{9y}{9}\ because\ it \ equals\ 1}[/tex]
  • [tex]\bold{Keep:\frac{198}{9}\ because\ it\ gives\ us\ the \ answer}[/tex]
  • [tex]\boxed{\boxed{\bold{Answer:y=22}}}\checkmark[/tex]

[tex]\bold{Good \ luck \ on \ your \ assignment \&}[/tex]  [tex]\bold{enjoy\ your \ day!}[/tex]

[tex]\frak{LoveYourselfFirst:)}[/tex]

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