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Let’s check out your problem:
How many solutions does this equation have?
\newline
d
=
−
8
d
+
9
d
d = -8d + 9d
d
=
−
8
d
+
9
d
\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
d
=
−
8
d
+
9
d
d = -8d + 9d
d
=
−
8
d
+
9
d
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Combine like terms:
Simplify the equation by combining like terms on the right side.
\newline
d
=
−
8
d
+
9
d
d = -8d + 9d
d
=
−
8
d
+
9
d
\newline
=
d
+
(
−
8
+
9
)
d
= d + (-8 + 9)d
=
d
+
(
−
8
+
9
)
d
\newline
=
d
+
1
d
= d + 1d
=
d
+
1
d
\newline
=
2
d
= 2d
=
2
d
Rewrite with simplified terms:
Rewrite the equation with the simplified terms.
\newline
d
=
2
d
d = 2d
d
=
2
d
Isolate the variable term:
Subtract
d
d
d
from both sides to isolate the variable term.
d
−
d
=
2
d
−
d
d - d = 2d - d
d
−
d
=
2
d
−
d
0
=
d
0 = d
0
=
d
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How many solutions does the following equation have?
\newline
5
x
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\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
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z
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−
2
z
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7
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\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
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)
=
7
y
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42
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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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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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