Question
Problems 9-10: Solve each equation. Show your thinking.
Ask by Harper Savage. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Problem 9:
Problem 10:
Solution
Sure, let’s solve each equation step by step.
Problem 9
Step 1: Distribute the multiplication on both sides.
Step 2: Combine like terms.
First, let’s get all terms containing
on one side and constants on the other. We’ll add
to both sides and add
to both sides to isolate
.
Step 3: Solve for
.
Divide both sides by 4:
Answer:
Problem 10
Step 1: Get all terms containing
on one side and constants on the other.
Add
to both sides and subtract
from both sides:
Step 2: Solve for
.
Divide both sides by 14:
Answer:
If you have any further questions or need additional explanations, feel free to ask!
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Bonus Knowledge
Let’s tackle the first equation:
For the equation
, we begin by distributing on both sides. The left side becomes
and the right side becomes
. Now we have:
Next, we can move all the
terms to one side and the constant terms to the other. Adding
to both sides results in:
Now, add
to both sides:
Finally, divide by
:
For the second equation,
, we start by isolating the
terms. Let’s add
to both sides:
Now, we subtract
from both sides:
Calculating the right side gives us
:
Finally, divide both sides by
:
To summarize, the solutions are
for the first equation and
for the second!