Question
Studdy Solution
STEP 1
What is this asking?
We're asked to solve a bunch of equations for , meaning we need to find the value of that makes each equation true!
Watch out!
Don't forget to distribute correctly and combine like terms carefully.
Keep those ’s together and those constants cozy!
STEP 2
1. Solve
2. Solve
3. Solve
4. Solve
STEP 3
Alright, let's **distribute** that 2 on the right side!
We get , which simplifies to .
STEP 4
Now, let's get all the terms on one side. **Subtract** from both sides: .
This gives us .
STEP 5
Next, let's **add** 7 to both sides to isolate the term with : , which simplifies to .
STEP 6
Finally, **divide** both sides by 3: .
So, !
STEP 7
**Distribute** on both sides! , which simplifies to .
STEP 8
Let's move the terms to one side by **subtracting** from both sides: , which gives us .
STEP 9
**Subtract** 18 from both sides: , simplifying to .
STEP 10
**Divide** both sides by 6: .
Therefore, !
STEP 11
First, let's **combine** like terms on the right side: , which simplifies to .
STEP 12
**Add** to both sides: , which gives us .
STEP 13
**Add** 4 to both sides: , simplifying to .
STEP 14
**Divide** both sides by 6: .
So, !
STEP 15
**Distribute** the 3 on the left side: , which simplifies to .
STEP 16
**Add** to both sides: , which gives us .
STEP 17
**Subtract** 34 from both sides: , simplifying to .
So, !
STEP 18
We found , , , and for each of the equations, respectively.
Boom!
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