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Let’s check out your problem:
Solve for
y
y
y
in terms of
x
x
x
and
z
z
z
.
\newline
x
=
z
+
y
x = z + y
x
=
z
+
y
\newline
y
=
y =
y
=
______
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Math Problems
Algebra 2
Solve multi-variable equations
Full solution
Q.
Solve for
y
y
y
in terms of
x
x
x
and
z
z
z
.
\newline
x
=
z
+
y
x = z + y
x
=
z
+
y
\newline
y
=
y =
y
=
______
Isolate
y
y
y
:
We have the equation
x
=
z
+
y
x = z + y
x
=
z
+
y
. To solve for
y
y
y
, we need to get
y
y
y
by itself on one side of the equation.
Subtract
z
z
z
:
Subtract
z
z
z
from both sides of the equation to isolate
y
y
y
.
x
−
z
=
z
+
y
−
z
x - z = z + y - z
x
−
z
=
z
+
y
−
z
Simplify equation:
Simplify the equation by canceling out the
z
z
z
on the right side.
x
−
z
=
y
x - z = y
x
−
z
=
y
Final solution:
Now we have
y
y
y
by itself, so the solution is
y
=
x
−
z
y = x - z
y
=
x
−
z
.
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
Get tutor help
Posted 1 year ago
Question
If
6
=
3
x
6=3 x
6
=
3
x
, what is the value of
x
x
x
?
Get tutor help
Posted 6 months ago
Question
If
9
=
9
x
9=9 x
9
=
9
x
, what is the value of
x
x
x
?
Get tutor help
Posted 6 months ago
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
Get tutor help
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:
Get tutor help
Posted 1 year ago
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:
Get tutor help
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:
Get tutor help
Posted 1 year ago
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
=
Get tutor help
Posted 1 year ago
Question
Find the value of `x`
\newline
6
x
+
32
=
8
x
−
8
6x+32=8x-8
6
x
+
32
=
8
x
−
8
Get tutor help
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
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
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Common Multiple
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