Question
c.
(Simplify your answer. Type an integer, fraction, or mixed number
Ask by Hampton Hill. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the equation:
Step 1: Subtract
from both sides to isolate the term with
:
Step 2: Find a common denominator to subtract the fractions on the right side. The least common denominator (LCD) of 6 and 10 is 30.
So,
Now the equation is:
Step 3: Multiply both sides by
to make the coefficient of
positive:
Step 4: Solve for
by multiplying both sides by the reciprocal of
, which is
:
Final Answer:
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Mind Expander
To solve for
in the equation
, first, we want to isolate
. Start by subtracting
from both sides:
Now, find a common denominator for the fractions on the right side, which is 30:
So,
Next, divide both sides by
to isolate
(this is the same as multiplying by
):
Thus, the value of
is
.