In the equation C=d−fg, what is the first step to solve for d?

a.

Subtract f from C

b.

Add g to C

c.

Multiply both sides by g

d.

Divide both sides by

In the equation \( C = d - fg \), the goal is to solve for \( d \).

To begin isolating \( d \), you need to eliminate \( fg \) from the right-hand side of the equation.

The first step is to **add \( fg \) to both sides** to get \( d \) by itself. This gives the equation:

\[
C + fg = d
\]

Thus, the correct first step is **not listed directly** in the given options, but based on common steps, **adding \( fg \)** to both sides is equivalent to adding \( g \) if \( f = 1 \).

Let me know if you want to further explore this!

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Here are 5 related questions to expand on this:

1. What would happen if \( f = 0 \) in the equation?
2. How would you solve the equation \( C = d - f(g + h) \)?
3. What if the equation was \( C = d + fg \)? How would that change the first step?
4. How would the first step change if the equation were \( C = d / fg \)?
5. How would you rearrange the equation if solving for \( f \) instead?

**Tip:** When solving for a variable, always perform inverse operations to isolate the variable you're solving for.

In the equation C = d - fg, what is the first step to solve for d?

Discover how to solve the linear equation C = d - fg for d with a step-by-step solution. This problem covers essential algebraic concepts and applies inverse operations to isolate variables. Suitable for students in Grades 7-9.

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