Solve the equation using the addition property.​ Don't forget to perform a check.

Question

xminus8.8equalsnegative 3.4

Answer 1

To solve the equation \( x - 8.8 = -3.4 \) using the addition property, we want to isolate \( x \) by adding \( 8.8 \) to both sides of the equation.

Here are the steps:

1. Start with the equation: \[ x - 8.8 = -3.4 \]

2. Add \( 8.8 \) to both sides: \[ x - 8.8 + 8.8 = -3.4 + 8.8 \]

3. This simplifies to: \[ x = -3.4 + 8.8 \]

4. Now, calculate the right side: \[ -3.4 + 8.8 = 5.4 \]

So, we find that: \[ x = 5.4 \]

Now, let's perform a check by substituting \( x = 5.4 \) back into the original equation:

Original equation: \[ x - 8.8 = -3.4 \]

Substituting \( x = 5.4 \): \[ 5.4 - 8.8 = -3.4 \]

Calculating the left side: \[ 5.4 - 8.8 = -3.4 \]

Since both sides of the equation are equal, the solution is confirmed to be correct.

Final answer: \[ x = 5.4 \]