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X/5=y/3 and 12/y=4/5 what does x equal and what does y equal and how?

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Rparam676idn

Final Answer: [tex]x = \frac{5y}{3}[/tex], [tex]y = 15[/tex]

Steps/Reasons/Explanation:

Question: [tex]\frac{x}{5} = \frac{y}{3}[/tex] and [tex]\frac{12}{y} = \frac{4}{5}[/tex]. What does [tex]x[/tex] equal and what does [tex]y[/tex] equal and how?

Solving for [tex]x[/tex] in the equation [tex]\frac{x}{5} = \frac{y}{3}[/tex].

Step 1: Multiply both sides by [tex]5[/tex].

[tex]x = \frac{y}{3} * 5[/tex]

Step 2: Simplify [tex]\frac{y}{3} * 5[/tex] to [tex]\frac{y * 5}{3}[/tex].

[tex]x = \frac{y * 5}{3}[/tex]

Step 3: Regroup terms.

[tex]x = \frac{5y}{3}[/tex]

Solving for [tex]y[/tex] in the equation [tex]\frac{12}{y} = \frac{4}{5}[/tex].

Step 1: Multiply both sides by [tex]y[/tex].

[tex]12 = \frac{4}{5}y[/tex]

Step 2: Simplify [tex]\frac{4}{5}y[/tex] to [tex]\frac{4y}{5}[/tex].

[tex]12 = \frac{4y}{5}[/tex]

Step 3: Multiply both sides by [tex]5[/tex].

[tex]12 * 5 = 4y[/tex]

Step 4: Simplify [tex]12 * 5[/tex] to [tex]60[/tex].

[tex]60 = 4y[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]\frac{60}{4} = y[/tex]

Step 6: Simplify [tex]\frac{60}{4}[/tex] to [tex]15[/tex].

[tex]15 = y[/tex]

Step 7: Switch sides.

[tex]y = 15[/tex]

~I hope I helped you :)~

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