Question

Solve this linear equation for p: 2.6(5.5p – 12.4) = 127.92 1. Distributive property: 2. Addition property of equality: 3. Division property of equality: 4. Solution: 14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 p =

Answer 1

solve for y

Answer 2

Solve this linear equation for p:

2.6(5.5p – 12.4) = 127.92



1. Distributive property:

2. Addition property of equality:



3. Division property of equality:

4. Solution:

Answer 3

To solve the equation \( 2.6(5.5p - 12.4) = 127.92 \), we can use the properties you've listed. Let's go through the steps:

1. **Distributive property**:
Distribute \( 2.6 \) to both terms inside the parentheses:
\[
2.6 \times 5.5p - 2.6 \times 12.4 = 127.92
\]
This gives us:
\[
14.3p - 32.24 = 127.92
\]

2. **Addition Property of Equality**:
We want to isolate \( p \), so we'll first add \( 32.24 \) to both sides to eliminate the constant on the left:
\[
14.3p - 32.24 + 32.24 = 127.92 + 32.24
\]
Simplifying this gives:
\[
14.3p = 160.16
\]

3. **Division Property of Equality**:
Now, we divide both sides by \( 14.3 \) to solve for \( p \):
\[
p = \frac{160.16}{14.3}
\]

4. **Calculation**:
Performing the division:
\[
p \approx 11.19
\]

So the solution is:
\[
p \approx 11.19
\]

Answer 4

Please provide the equation or expression you'd like to solve for \( y \). Once I have that information, I'll be able to assist you further!

Answer 5

Let's solve the equation \( 2.6(5.5p - 12.4) = 127.92 \) step by step, using the properties you've mentioned:

### 1. Distributive Property:
Distribute \( 2.6 \) through the expression inside the parentheses:

\[
2.6 \times 5.5p - 2.6 \times 12.4 = 127.92
\]

Calculating the products:

\[
14.3p - 32.24 = 127.92
\]

### 2. Addition Property of Equality:
Now, we will add \( 32.24 \) to both sides to isolate the term containing \( p \):

\[
14.3p - 32.24 + 32.24 = 127.92 + 32.24
\]

This simplifies to:

\[
14.3p = 160.16
\]

### 3. Division Property of Equality:
Next, divide both sides by \( 14.3 \) to solve for \( p \):

\[
p = \frac{160.16}{14.3}
\]

### 4. Solution:
Now we perform the division:

\[
p \approx 11.19
\]

So, the final solution for \( p \) is:

\[
p \approx 11.19
\]