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To solve the equation , we will follow these steps:
Now, perform each step:
Step 1: Subtract 6 from both sides:
Step 2: Simplify both sides:
Step 3: Divide both sides by 5 to solve for :
Step 4: Simplify the division:
Therefore, the solution to the problem is .
Find the value of the parameter X
\( \frac{1}{3}x=\frac{1}{9} \)
When you subtract 6 from both sides, you're maintaining the balance of the equation. Think of it like a scale - whatever you do to one side, you must do to the other to keep it balanced!
Adding 6 would give you , making the problem harder! Remember: to eliminate a positive 6, you must subtract 6 from both sides.
You could, but it creates fractions: . It's much easier to subtract the constant first, then divide by the coefficient.
Substitute 10 for x in the original equation: . Since this equals 56, your answer is correct!
Isolating the variable means getting x by itself on one side of the equation. You do this by undoing all the operations around x using inverse operations.
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