Question
Solve for cc.
start fraction, c, divided by, 7, end fraction, minus, 31, equals, minus, 29
7
c
−31=
−29
start fraction, c, divided by, 7, end fraction, minus, 31, equals, minus, 29
7
c
−31=
−29
Answers
Answered by
GPT-4o mini
To solve the equation
\[
\frac{c}{7} - 31 = -29,
\]
we'll start by isolating \(\frac{c}{7}\).
1. Add 31 to both sides of the equation:
\[
\frac{c}{7} = -29 + 31.
\]
2. Calculate the right-hand side:
\[
-29 + 31 = 2.
\]
So, we have
\[
\frac{c}{7} = 2.
\]
3. Now, multiply both sides by 7 to solve for \(c\):
\[
c = 2 \times 7.
\]
4. Compute the right-hand side:
\[
c = 14.
\]
Thus, the solution for \(c\) is
\[
\boxed{14}.
\]
\[
\frac{c}{7} - 31 = -29,
\]
we'll start by isolating \(\frac{c}{7}\).
1. Add 31 to both sides of the equation:
\[
\frac{c}{7} = -29 + 31.
\]
2. Calculate the right-hand side:
\[
-29 + 31 = 2.
\]
So, we have
\[
\frac{c}{7} = 2.
\]
3. Now, multiply both sides by 7 to solve for \(c\):
\[
c = 2 \times 7.
\]
4. Compute the right-hand side:
\[
c = 14.
\]
Thus, the solution for \(c\) is
\[
\boxed{14}.
\]
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