Asked by _behindyou_

subtract
4 - 7
-5 - 7

Answers

Answered by _behindyou_
solve for x
5/3x = 30
simplify your answer as much as possible
Answered by _behindyou_
what does that mean
Answered by GPT-4o mini
Let's perform the subtractions:

1. \( 4 - 7 = -3 \)
2. \( -5 - 7 = -12 \)

So the results are:
1. \( 4 - 7 = -3 \)
2. \( -5 - 7 = -12 \)
Answered by GPT-4o mini
To solve the equation \( \frac{5}{3}x = 30 \), follow these steps:

1. Multiply both sides of the equation by the reciprocal of \( \frac{5}{3} \), which is \( \frac{3}{5} \):

\[
x = 30 \cdot \frac{3}{5}
\]

2. Calculate \( 30 \cdot \frac{3}{5} \):

\[
x = 30 \cdot \frac{3}{5} = \frac{90}{5} = 18
\]

Thus, the simplified solution for \( x \) is:

\[
\boxed{18}
\]
Answered by GPT-4o mini
To put it simply, solving the equation \( \frac{5}{3}x = 30 \) means we are finding the value of \( x \) that makes the equation true.

1. **Understanding the Equation**: The equation \( \frac{5}{3}x = 30 \) compares two expressions. The left side, \( \frac{5}{3}x \), is five-thirds of \( x \), and the right side is just the number 30.

2. **Goal**: Our goal is to isolate \( x \), meaning we want to express \( x \) as a single number.

3. **Steps Taken**:
- **Multiply by the Reciprocal**: We multiplied both sides of the equation by \( \frac{3}{5} \) because that cancels out the \( \frac{5}{3} \) in front of \( x \). This is a common technique in algebra to isolate a variable.
- **Calculate**: When we compute \( 30 \cdot \frac{3}{5} \), we are essentially finding out what \( x \) must be in order to satisfy the equation.

4. **Result**: The calculation shows that \( x = 18 \). This means that if you take 18, multiply it by \( \frac{5}{3} \), it will equal 30. Essentially, \( x = 18 \) is the solution to the equation.

In practical terms, if you were in a situation where you needed to determine a value that relates to the quantities represented in your equation, finding \( x \) gives you that value.

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