points

Question

Fill in the blanks to complete the steps.
How to Solve Equations in the Form ax - b = c
Step
1. choose your answer...

bto both sides
Example: 2x-7=3
22-7+7=3+7
2x = 10
2x
10
＝
2
2
2
choose your answer...
both sides by a
x=
type your answer...

Answer 1

To solve equations in the form \( ax - b = c \), you need to follow these steps. Here’s how to fill in the blanks for your example:

Step 1: Add \( b \) to both sides
For the equation:
\( 2x - 7 = 3 \)
You add 7 to both sides:
\( 2x - 7 + 7 = 3 + 7 \)
This simplifies to:
\( 2x = 10 \)

Step 2: Divide both sides by \( a \)
Now, divide both sides by \( 2 \) (since \( a = 2 \) in this case):
\( \frac{2x}{2} = \frac{10}{2} \)
This simplifies to:
\( x = 5 \)

So the completed steps would be:

1. Add \( b \) to both sides
2. Divide both sides by \( a \)
   Final answer: \( x = 5 \)