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Let’s check out your problem:
Solve for
a
a
a
in terms of
b
b
b
and
c
c
c
.
\newline
b
=
a
c
b = ac
b
=
a
c
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Math Problems
Algebra 1
Rearrange multi-variable equations
Full solution
Q.
Solve for
a
a
a
in terms of
b
b
b
and
c
c
c
.
\newline
b
=
a
c
b = ac
b
=
a
c
Question Prompt:
question_prompt: Solve for
a
a
a
in terms of
b
b
b
and
c
c
c
.
Divide by
c
c
c
:
b
=
a
c
b = ac
b
=
a
c
, so to get
a
a
a
by itself, we gotta divide both sides by
c
c
c
.
Cancel out
c
c
c
:
b
c
=
a
c
c
\frac{b}{c} = \frac{ac}{c}
c
b
=
c
a
c
, now the
c
c
c
's on the right cancel out.
Isolate
a
a
a
:
a
=
b
c
a = \frac{b}{c}
a
=
c
b
, and that's it, we've isolated
a
a
a
.
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(B) Exactly one solution
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Question
How many solutions does the following equation have?
\newline
9
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=
16
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