Final answer:
To solve the equation -1/3 + 5e = -3/4 for e, add 1/3 to both sides, find a common denominator to combine the fractions, then divide by 5 to isolate e. The final answer is e = -1/12.
Step-by-step explanation:
To solve the equation -1/3 + 5e = -3/4 for the variable e in fraction form, follow these steps:
- Start by adding 1/3 to both sides of the equation to isolate the term with e on one side.
- The equation becomes 5e = -3/4 + 1/3. Find a common denominator for the fractions to combine them.
- The common denominator for 4 and 3 is 12, so -3/4 becomes -9/12 and 1/3 becomes 4/12.
- Now, -9/12 + 4/12 equals -5/12, so the equation is now 5e = -5/12.
- To find the value of e, divide both sides by 5, which gives e = (-5/12) / 5.
- Finally, dividing the numerator by 5 yields e = -1/12, which is e in fraction form