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Let’s check out your problem:
2
x
+
3
y
=
5
x
−
y
2x+3y=5x-y
2
x
+
3
y
=
5
x
−
y
missing value of
x
x
x
when
y
y
y
is
0
0
0
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
2
x
+
3
y
=
5
x
−
y
2x+3y=5x-y
2
x
+
3
y
=
5
x
−
y
missing value of
x
x
x
when
y
y
y
is
0
0
0
Substitute
y
=
0
y = 0
y
=
0
:
First, we need to substitute
y
=
0
y = 0
y
=
0
into the equation and simplify.
2
x
+
3
(
0
)
=
5
x
−
(
0
)
2x + 3(0) = 5x - (0)
2
x
+
3
(
0
)
=
5
x
−
(
0
)
Simplify the equation:
After substitifying
y
=
0
y = 0
y
=
0
, the equation becomes:
2
x
=
5
x
2x = 5x
2
x
=
5
x
Move terms involving x:
Now, we need to solve for x. To do this, we'll move all terms involving x to one side of the equation.
2
x
−
5
x
=
0
2x - 5x = 0
2
x
−
5
x
=
0
Combine like terms:
Combine like terms to simplify the equation.
\newline
−
3
x
=
0
-3x = 0
−
3
x
=
0
Divide both sides:
To find the value of
x
x
x
, divide both sides of the equation by
−
3
-3
−
3
.
x
=
0
−
3
x = \frac{0}{-3}
x
=
−
3
0
Divide both sides:
To find the value of
x
x
x
, divide both sides of the equation by
−
3
-3
−
3
.
x
=
0
/
−
3
x = 0 / -3
x
=
0/
−
3
Dividing zero by any non-zero number results in zero.
x
=
0
x = 0
x
=
0
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Question
Solve for x.
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4
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x
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12
(\frac{3}{4})x= 12
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How many solutions does the following equation have?
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5
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How many solutions does the following equation have?
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−
2
z
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=
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\newline
Choose
1
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answer:
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(A) No solutions
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(B) Exactly one solution
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Question
How many solutions does the following equation have?
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7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
9
(
x
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6
)
=
−
9
x
+
108
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−
9
(
x
+
6
)
=
−
9
x
+
108
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
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4
x
−
7
+
10
x
=
−
7
+
6
x
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
17
(
y
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2
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−
17
y
+
64
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−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
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