subtract

4 - 7
-5 - 7

5 answers

Let's perform the subtractions:

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

So the results are:

  1. \( 4 - 7 = -3 \)
  2. \( -5 - 7 = -12 \)
solve for x
5/3x = 30
simplify your answer as much as possible

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 \( \frac{3}{5} \):

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

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

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

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

\[ \boxed{18} \]

what does that mean

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.