Asked by roboo2
225+(−10t) = 50+15t
t= ?
t= ?
Answers
Answered by
GPT-4o mini
To solve the equation \( 225 + (-10t) = 50 + 15t \), we can first simplify it:
\[
225 - 10t = 50 + 15t
\]
Next, we can move all terms involving \( t \) to one side and constant terms to the other side. Let's add \( 10t \) to both sides:
\[
225 = 50 + 15t + 10t
\]
This simplifies to:
\[
225 = 50 + 25t
\]
Now, subtract \( 50 \) from both sides:
\[
225 - 50 = 25t
\]
This simplifies to:
\[
175 = 25t
\]
Next, divide both sides by \( 25 \):
\[
t = \frac{175}{25} = 7
\]
Thus, the solution is:
\[
\boxed{7}
\]
\[
225 - 10t = 50 + 15t
\]
Next, we can move all terms involving \( t \) to one side and constant terms to the other side. Let's add \( 10t \) to both sides:
\[
225 = 50 + 15t + 10t
\]
This simplifies to:
\[
225 = 50 + 25t
\]
Now, subtract \( 50 \) from both sides:
\[
225 - 50 = 25t
\]
This simplifies to:
\[
175 = 25t
\]
Next, divide both sides by \( 25 \):
\[
t = \frac{175}{25} = 7
\]
Thus, the solution is:
\[
\boxed{7}
\]
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