Question

Solve using inverse operations. Use the sketch pad to show your work:
-4+2b=-40


MUST show your work.

Answer 1

To solve the equation \(-4 + 2b = -40\) using inverse operations, follow these steps:

### Step 1: Isolate the term with the variable
First, we want to get the term with \( b \) (which is \( 2b \)) by itself on one side of the equation. To do this, we can add \( 4 \) to both sides of the equation.

\[
-4 + 2b + 4 = -40 + 4
\]

This simplifies to:

\[
2b = -36
\]

### Step 2: Solve for \( b \)
Next, we need to isolate \( b \) by dividing both sides of the equation by \( 2 \):

\[
\frac{2b}{2} = \frac{-36}{2}
\]

This simplifies to:

\[
b = -18
\]

### Step 3: Check your solution
To ensure our solution is correct, we can substitute \( b = -18 \) back into the original equation:

\[
-4 + 2(-18) = -40
\]

Calculating the left side:

\[
-4 - 36 = -40
\]

Since both sides of the equation are equal, our solution is verified.

### Final Answer
The solution to the equation \(-4 + 2b = -40\) is:

\[
b = -18
\]

### Note
Since I am unable to use a sketch pad, I've outlined the steps clearly. You can visualize or write this out on a sketch pad by illustrating each step as shown above or graphically representing the operations you performed.