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Let’s check out your problem:
Solve for
r
r
r
in terms of
s
s
s
,
t
t
t
,
u
u
u
, and
v
v
v
.
\newline
v
s
=
−
t
r
u
vs = -tru
v
s
=
−
t
r
u
\newline
r
=
r =
r
=
______
View step-by-step help
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Math Problems
Algebra 1
Rearrange multi-variable equations
Full solution
Q.
Solve for
r
r
r
in terms of
s
s
s
,
t
t
t
,
u
u
u
, and
v
v
v
.
\newline
v
s
=
−
t
r
u
vs = -tru
v
s
=
−
t
r
u
\newline
r
=
r =
r
=
______
Isolate variable
r
r
r
:
v
s
=
−
t
r
u
vs = -tru
v
s
=
−
t
r
u
\newline
To isolate
r
r
r
, divide both sides by
−
t
u
-tu
−
t
u
.
\newline
r
=
v
s
−
t
u
r = \frac{vs}{-tu}
r
=
−
t
u
v
s
Check solution:
Check the solution by substituting back into the original equation.
\newline
v
s
=
−
t
r
u
vs = -tru
v
s
=
−
t
r
u
\newline
v
s
=
−
(
v
s
−
t
u
)
∗
t
u
vs = -\left(\frac{vs}{-tu}\right) * tu
v
s
=
−
(
−
t
u
v
s
)
∗
t
u
\newline
v
s
=
v
s
vs = vs
v
s
=
v
s
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______
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6
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(B) Exactly one solution
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How many solutions does the following equation have?
\newline
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(B) Exactly one solution
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(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
9
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Choose
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(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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