Respuesta :

Answer:

r=9

Step-by-step explanation:

6       2

---- = ------

r         3

We can use cross products to solve

6 * 3 = 2 * r

18 = 2r

Divide by 2

18/2 = 2r/2

9 = r

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

[tex]\bold{\frac{6}{r}=\frac{2}{3}}[/tex]

[tex]\text{First, you have to cross multiply}[/tex]

[tex]\bullet{\ \bold{numerator\times denminator}}[/tex]

[tex]\bullet{ \ \bold{denominator\times numerator}}[/tex]

[tex]\bold{6\times3=18}[/tex]

[tex]\bold{2\times r=2r}[/tex]

[tex]\text{Your equation becomes: 2r = 18}[/tex]

[tex]\text{\underline{DIVIDE}\ by 2 on each of your sides!}[/tex]

[tex]\bold{\frac{2r}{2}=\frac{18}{2}}[/tex]

[tex]\bf{Cancel:\frac{2r}{2}\ because\ it\ gives\ us the result\ of\ 1}[/tex]

[tex]\bf{Keep:\frac{18}{2}\ because\ it\ gives\ us the\ value\ of\ r}[/tex]

[tex]\bf{18\div2=9}[/tex]

[tex]\boxed{\boxed{\bold{Answer:x=9}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

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

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