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 :)~
