Question

subtract (6.25x + 12) - (4.25x - 7)

Answer 1

Answer:

After subtracting the two expressions, we get:

$\[ (6.25x + 12) - (4.25x - 7) = 2.0x + 19 \]$

Step-by-step explanation:

1. Write down the expressions:

  $\[ (6.25x + 12) - (4.25x - 7) \]$

2. Distribute the negative sign:

  To subtract the second expression from the first, we need to distribute the negative sign to both terms in the second expression. Remember that subtracting a negative is the same as adding a positive.

  $\[ 6.25x + 12 - 4.25x + 7 \]$

3. Combine like terms:

  We have two types of terms: those with $\( x \)$ and constant terms. We combine the coefficients of $\( x \)$ terms and the constant terms separately.

  $\[ (6.25x - 4.25x) + (12 + 7) \]$

4. Perform the arithmetic:

  Now, subtract the coefficients of $\( x \)$ and add the constant terms.

  $\[ 2.0x + 19 \]$

5. Result:

  The final simplified expression after subtraction is:

  $\[ 2.0x + 19 \]$

This is the result of subtracting the second expression from the first.