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Let’s check out your problem:
Solve for
t
t
t
in terms of
r
r
r
and
s
s
s
.
\newline
s
=
−
t
r
s = -\frac{t}{r}
s
=
−
r
t
\newline
t
=
t =
t
=
______
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Math Problems
Algebra 2
Solve multi-variable equations
Full solution
Q.
Solve for
t
t
t
in terms of
r
r
r
and
s
s
s
.
\newline
s
=
−
t
r
s = -\frac{t}{r}
s
=
−
r
t
\newline
t
=
t =
t
=
______
Multiply by
r
r
r
:
We got
s
=
−
t
r
s = -\frac{t}{r}
s
=
−
r
t
. To get
t
t
t
by itself, we need to get rid of the division by
r
r
r
, so we'll multiply both sides by
r
r
r
.
s
×
r
=
−
t
r
×
r
s \times r = -\frac{t}{r} \times r
s
×
r
=
−
r
t
×
r
Cancel out
r
r
r
:
Now, when we multiply
−
t
r
-\frac{t}{r}
−
r
t
by
r
r
r
, the
r
r
r
's cancel out on the right side, so we're left with:
s
⋅
r
=
−
t
s \cdot r = -t
s
⋅
r
=
−
t
Get rid of negative sign:
We're solving for
t
t
t
, so we need to get rid of that negative sign. We'll multiply both sides by
−
1
-1
−
1
.
−
s
×
r
=
t
-s \times r = t
−
s
×
r
=
t
More problems from Solve multi-variable equations
Question
3
n
2
=
27
3 n^{2}=27
3
n
2
=
27
\newline
What are the solutions to the given equation?
\newline
Choose
1
1
1
answer:
\newline
(A)
n
=
3
n=\sqrt{3}
n
=
3
\newline
(B)
n
=
3
n=3
n
=
3
\newline
(C)
n
=
−
3
n=-\sqrt{3}
n
=
−
3
and
n
=
3
n=\sqrt{3}
n
=
3
\newline
(D)
n
=
−
3
n=-3
n
=
−
3
and
n
=
3
n=3
n
=
3
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Question
1
2
c
2
+
3
c
=
1
\frac{1}{2} c^{2}+3 c=1
2
1
c
2
+
3
c
=
1
\newline
Let
c
=
f
c=f
c
=
f
and
c
=
g
c=g
c
=
g
be the solutions to the given equation. If
f
>
g
f>g
f
>
g
, which of the following is the value of
f
f
f
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
+
2
-3+\sqrt{2}
−
3
+
2
\newline
(B)
−
3
+
11
-3+\sqrt{11}
−
3
+
11
\newline
(C)
3
+
2
3+\sqrt{2}
3
+
2
\newline
(D)
3
+
11
3+\sqrt{11}
3
+
11
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Posted 1 year ago
Question
Find the value of
x
x
x
that solves the equation
ln
(
x
−
3
)
=
1
+
ln
2
\ln (x-3)=1+\ln 2
ln
(
x
−
3
)
=
1
+
ln
2
.
\newline
Answer:
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Question
Find the value of
x
x
x
that solves the equation
ln
(
x
−
1
)
+
ln
5
=
2
\ln (x-1)+\ln 5=2
ln
(
x
−
1
)
+
ln
5
=
2
.
\newline
Answer:
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Posted 1 year ago
Question
Find the value of
x
x
x
that solves the equation
ln
(
x
+
3
)
−
ln
2
=
0
\ln (x+3)-\ln 2=0
ln
(
x
+
3
)
−
ln
2
=
0
.
\newline
Answer:
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Question
Find the value of
x
x
x
that solves the equation
ln
(
x
−
3
)
−
3
ln
4
=
ln
10
\ln (x-3)-3 \ln 4=\ln 10
ln
(
x
−
3
)
−
3
ln
4
=
ln
10
.
\newline
Answer:
x
=
x=
x
=
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Question
Find the value of `x`
\newline
6
x
+
32
=
8
x
−
8
6x+32=8x-8
6
x
+
32
=
8
x
−
8
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Posted 1 year ago
Question
Aiden has
$
200
\$200
$200
with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get
40
40
40
hats. If Aiden purchases only t-shirts, he will get
80
80
80
t-shirts. Which of the following best models the relationship between the number of hats,
h
h
h
, and the number of t-shirts,
t
t
t
, that Aiden could purchase with this money?
\newline
Choose
1
1
1
answer:
\newline
(A)
40
h
+
80
t
=
400
40h+80t=400
40
h
+
80
t
=
400
\newline
(B)
80
h
+
40
t
=
200
80h+40t=200
80
h
+
40
t
=
200
\newline
(C)
5
h
+
2.5
t
=
200
5h+2.5t=200
5
h
+
2.5
t
=
200
\newline
(D)
2.5
h
+
5
t
=
200
2.5h+5t=200
2.5
h
+
5
t
=
200
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Posted 1 year ago
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