Solve for
t
t
. Give your answer in reduced proper fraction or mixed number.

−
3
t
3
+
3
4
=
−
t
−
6
3
-
3
t
3
+
3
4
=
-t-6-3

t
=
t
=

Let's solve the equation step by step:

The given equation is:

\[
-\frac{3t}{3} + \frac{3}{4} = -t - 6
\]

### Step 1: Simplify the left-hand side
First, simplify the term \(-\frac{3t}{3}\):

\[
-\frac{3t}{3} = -t
\]

So, the equation becomes:

\[
-t + \frac{3}{4} = -t - 6
\]

### Step 2: Add \(t\) to both sides
To eliminate \(-t\) from both sides, add \(t\) to both sides:

\[
-t + \frac{3}{4} + t = -t - 6 + t
\]

This simplifies to:

\[
\frac{3}{4} = -6
\]

### Step 3: Solve for \(t\)
At this point, the equation says \(\frac{3}{4} = -6\), which is clearly not true. This indicates there may have been an issue with the problem setup, or it may not have a solution.

There’s no value of \(t\) that can satisfy this equation.

If you'd like more details or clarification, feel free to ask!

### 5 Relative Questions:
1. Can you identify where the equation might have been misinterpreted or adjusted?
2. Would you like to try solving a related equation with different values?
3. How do you usually approach simplifying terms in equations?
4. Are you familiar with solving equations involving fractions and mixed numbers?
5. Would you like to explore how to verify solutions once you solve an equation?

### Tip:
Always check your simplified terms carefully to avoid calculation mistakes!

Solve for t. Give your answer in reduced proper fraction or mixed number.

− 3t / 3 + 3/4 = −t − 6

Learn how to solve the linear equation − 3t/3 + 3/4 = −t − 6. This step-by-step solution involves simplifying fractions and balancing equations, suitable for students in Grades 6-8.

Math Problem Statement

− 3 t 3 + 3 4

− t − 6 3

3 t 3 + 3 4

t

t

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation