5) $$ \frac{2}{3}=\frac{x}{6} \quad ; \frac{8}{2}=\frac{28}{x} $$

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Solve the equation $$ \frac{2}{3}=\frac{x}{6} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{2}{3}=\frac{x}{6}$$
- step1: Swap the sides:
  $$\frac{x}{6}=\frac{2}{3}$$
- step2: Multiply both sides of the equation by $$6:$$
  $$\frac{x}{6}	imes 6=\frac{2}{3}	imes 6$$
- step3: Multiply the terms:
  $$x=\frac{2	imes 6}{3}$$
- step4: Evaluate:
  $$x=4$$
Solve the equation $$ \frac{8}{2}=\frac{28}{x} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{8}{2}=\frac{28}{x}$$
- step1: Find the domain:
  $$\frac{8}{2}=\frac{28}{x},x
eq 0$$
- step2: Divide the terms:
  $$4=\frac{28}{x}$$
- step3: Swap the sides:
  $$\frac{28}{x}=4$$
- step4: Cross multiply:
  $$28=x	imes 4$$
- step5: Simplify the equation:
  $$28=4x$$
- step6: Rewrite the expression:
  $$4	imes 7=4x$$
- step7: Evaluate:
  $$7=x$$
- step8: Swap the sides:
  $$x=7$$
- step9: Check if the solution is in the defined range:
  $$x=7,x
eq 0$$
- step10: Find the intersection:
  $$x=7$$
The solutions to the given equations are:
1. $$ x = 4 $$
2. $$ x = 7 $$
$$ x = 4 $$ and $$ x = 7 $$

5) \( \frac{2}{3}=\frac{x}{6} \quad ; \frac{8}{2}=\frac{28}{x} \)

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