The given equation is:

\[
-3 = ax + 11
\]

To solve for \(x\), first isolate \(ax\) by subtracting 11 from both sides:

\[
-3 - 11 = ax
\]

This simplifies to:

\[
-14 = ax
\]

Now, solve for \(x\) by dividing both sides of the equation by \(a\):

\[
x = \frac{-14}{a}
\]

So the solution for \(x\) is:

\[
x = \frac{-14}{a}
\]

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What happens to the value of \(x\) if \(a = 2\)?
2. How would the equation change if \(a = -7\)?
3. What would the equation look like if the constant 11 was replaced by a different number?
4. Can you solve the equation for \(a\) if \(x = 4\)?
5. How does the solution change if the left side is \(3\) instead of \(-3\)?

**Tip**: When solving linear equations, always aim to isolate the variable by performing inverse operations.

Learn how to solve the linear equation -3 = ax + 11 with a step-by-step breakdown. This problem demonstrates key algebraic concepts, including isolating variables and properties of equality. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation