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Let’s check out your problem:
How many solutions does this equation have?
\newline
−
6
+
m
=
m
-6 + m = m
−
6
+
m
=
m
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
View step-by-step help
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Math Problems
Algebra 1
Find the number of solutions to a linear equation
Full solution
Q.
How many solutions does this equation have?
\newline
−
6
+
m
=
m
-6 + m = m
−
6
+
m
=
m
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Isolate
m
m
m
:
Simplify the equation by isolating
m
m
m
on one side.
\newline
−
6
+
m
=
m
-6 + m = m
−
6
+
m
=
m
\newline
Subtract
m
m
m
from both sides:
\newline
−
6
+
m
−
m
=
m
−
m
-6 + m - m = m - m
−
6
+
m
−
m
=
m
−
m
\newline
−
6
=
0
-6 = 0
−
6
=
0
Subtract and Simplify:
Analyze the simplified equation.
\newline
Since
−
6
≠
0
-6 \neq 0
−
6
=
0
, the equation has no valid solutions where both sides are equal.
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How many solutions does the following equation have?
\newline
5
x
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8
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7
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(A) No solutions
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(B) Exactly one solution
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How many solutions does the following equation have?
\newline
−
2
z
+
10
+
7
z
=
16
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+
7
-2z+10+7z=16z+7
−
2
z
+
10
+
7
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16
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7
\newline
Choose
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answer:
\newline
(A) No solutions
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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
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
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
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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Question
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
Get tutor help
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Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
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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Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
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
Posted 1 year ago
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