Colcula la letra $$ \frac{2 x}{9}=15=225 $$ $$ \frac{6 x+1}{3}=5-8.3 $$ $$ \frac{6}{x}=3=0.3 $$ $$ -\frac{12}{x}=4=0.6 $$ $$ -\frac{2 x+2}{x}= $$

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Colcula la letra $$ \frac{2 x}{9}=15=225 $$ $$ \frac{6 x+1}{3}=5-8.3 $$ $$ \frac{6}{x}=3=0.3 $$ $$ -\frac{12}{x}=4=0.6 $$ $$ -\frac{2 x+2}{x}= $$

UpStudy AI · Accepted Answer

Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$-\frac{12}{x}=4$$
- step1: Find the domain:
  $$-\frac{12}{x}=4,x\neq 0$$
- step2: Rewrite the expression:
  $$\frac{-12}{x}=4$$
- step3: Cross multiply:
  $$-12=x\times 4$$
- step4: Simplify the equation:
  $$-12=4x$$
- step5: Rewrite the expression:
  $$4\left(-3\right)=4x$$
- step6: Evaluate:
  $$-3=x$$
- step7: Swap the sides:
  $$x=-3$$
- step8: Check if the solution is in the defined range:
  $$x=-3,x\neq 0$$
- step9: Find the intersection:
  $$x=-3$$
Solve the equation $$ \frac{6}{x}=3 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{6}{x}=3$$
- step1: Find the domain:
  $$\frac{6}{x}=3,x\neq 0$$
- step2: Cross multiply:
  $$6=x\times 3$$
- step3: Simplify the equation:
  $$6=3x$$
- step4: Rewrite the expression:
  $$3\times 2=3x$$
- step5: Evaluate:
  $$2=x$$
- step6: Swap the sides:
  $$x=2$$
- step7: Check if the solution is in the defined range:
  $$x=2,x\neq 0$$
- step8: Find the intersection:
  $$x=2$$
Solve the equation $$ \frac{2 x}{9}=15 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{2x}{9}=15$$
- step1: Cross multiply:
  $$2x=9\times 15$$
- step2: Simplify the equation:
  $$2x=135$$
- step3: Divide both sides:
  $$\frac{2x}{2}=\frac{135}{2}$$
- step4: Divide the numbers:
  $$x=\frac{135}{2}$$
Solve the equation $$ -\frac{2 x+2}{x}=0 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$-\frac{2x+2}{x}=0$$
- step1: Find the domain:
  $$-\frac{2x+2}{x}=0,x\neq 0$$
- step2: Rewrite the expression:
  $$\frac{-2x-2}{x}=0$$
- step3: Cross multiply:
  $$-2x-2=x\times 0$$
- step4: Simplify the equation:
  $$-2x-2=0$$
- step5: Move the constant to the right side:
  $$-2x=0+2$$
- step6: Remove 0:
  $$-2x=2$$
- step7: Change the signs:
  $$2x=-2$$
- step8: Divide both sides:
  $$\frac{2x}{2}=\frac{-2}{2}$$
- step9: Divide the numbers:
  $$x=-1$$
- step10: Check if the solution is in the defined range:
  $$x=-1,x\neq 0$$
- step11: Find the intersection:
  $$x=-1$$
Solve the equation $$ \frac{6 x+1}{3}=5-8.3 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{6x+1}{3}=5-8.3$$
- step1: Subtract the numbers:
  $$\frac{6x+1}{3}=-3.3$$
- step2: Convert the expressions:
  $$\frac{6x+1}{3}=-\frac{33}{10}$$
- step3: Rewrite the expression:
  $$\frac{6x+1}{3}=\frac{-33}{10}$$
- step4: Multiply both sides of the equation by $$3:$$
  $$\frac{6x+1}{3}\times 3=\frac{-33}{10}\times 3$$
- step5: Multiply the terms:
  $$6x+1=\frac{-33\times 3}{10}$$
- step6: Evaluate:
  $$6x+1=-\frac{99}{10}$$
- step7: Move the constant to the right side:
  $$6x=-\frac{99}{10}-1$$
- step8: Subtract the numbers:
  $$6x=-\frac{109}{10}$$
- step9: Multiply by the reciprocal:
  $$6x\times \frac{1}{6}=-\frac{109}{10}\times \frac{1}{6}$$
- step10: Multiply:
  $$x=-\frac{109}{60}$$
Aquí están las soluciones para cada una de las ecuaciones:

1. Para la ecuación $$ \frac{2 x}{9}=15 $$:
   $$
   x = \frac{135}{2} \quad \text{o} \quad x = 67.5
   $$

2. Para la ecuación $$ \frac{6 x+1}{3}=5-8.3 $$:
   $$
   x = -\frac{109}{60} \quad \text{o} \quad x \approx -1.81\dot{6}
   $$

3. Para la ecuación $$ \frac{6}{x}=3 $$:
   $$
   x = 2
   $$

4. Para la ecuación $$ -\frac{12}{x}=4 $$:
   $$
   x = -3
   $$

5. Para la ecuación $$ -\frac{2 x+2}{x}=0 $$:
   $$
   x = -1
   $$

Si necesitas más ayuda o aclaraciones sobre alguna de las soluciones, no dudes en preguntar.
Aquí están las soluciones para cada ecuación: 1. $$ \frac{2x}{9} = 15 $$: $$ x = 67.5 $$ 2. $$ \frac{6x + 1}{3} = 5 - 8.3 $$: $$ x \approx -1.816 $$ 3. $$ \frac{6}{x} = 3 $$: $$ x = 2 $$ 4. $$ -\frac{12}{x} = 4 $$: $$ x = -3 $$ 5. $$ -\frac{2x + 2}{x} = 0 $$: $$ x = -1 $$

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