Question

-4t + 14 = -9t + 24

What value of t makes the equation true?

Answer 1

so it's 2?

Answer 2

To solve the equation \(-4t + 14 = -9t + 24\), we can start by getting the terms involving \(t\) on one side and the constant terms on the other side.

1. Add \(9t\) to both sides:

\[
-4t + 9t + 14 = 24
\]

This simplifies to:

\[
5t + 14 = 24
\]

2. Next, subtract \(14\) from both sides:

\[
5t = 24 - 14
\]

This simplifies to:

\[
5t = 10
\]

3. Now, divide both sides by \(5\):

\[
t = \frac{10}{5}
\]

This simplifies to:

\[
t = 2
\]

Therefore, the value of \(t\) that makes the equation true is \( \boxed{2} \).

Answer 3

Yes, that's correct! The value of \( t \) that makes the equation \(-4t + 14 = -9t + 24\) true is \( t = 2 \).