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Let’s check out your problem:
solve for
x
x
x
,
\newline
x
+
10
x
−
10
=
0
x + 10x -10=0
x
+
10
x
−
10
=
0
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
solve for
x
x
x
,
\newline
x
+
10
x
−
10
=
0
x + 10x -10=0
x
+
10
x
−
10
=
0
Combine like terms:
Combine like terms to simplify the equation.
\newline
x
+
10
x
−
10
=
0
x + 10x - 10 = 0
x
+
10
x
−
10
=
0
\newline
(
1
+
10
)
x
−
10
=
0
(1 + 10)x - 10 = 0
(
1
+
10
)
x
−
10
=
0
\newline
11
x
−
10
=
0
11x - 10 = 0
11
x
−
10
=
0
Add
10
10
10
to isolate:
Add
10
10
10
to both sides to isolate the term with the variable
x
x
x
.
\newline
11
x
−
10
+
10
=
0
+
10
11x - 10 + 10 = 0 + 10
11
x
−
10
+
10
=
0
+
10
\newline
11
x
=
10
11x = 10
11
x
=
10
Divide both sides:
Divide both sides by
11
11
11
to solve for
x
x
x
.
\newline
11
x
11
=
10
11
\frac{11x}{11} = \frac{10}{11}
11
11
x
=
11
10
\newline
x
=
10
11
x = \frac{10}{11}
x
=
11
10
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7
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y
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(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?
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9
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x
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9
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−
9
(
x
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6
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9
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4
x
−
2
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−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
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Choose
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(B) Exactly one solution
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\newline
(A) No solutions
\newline
(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
9
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6
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7
z
=
16
z
−
6
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z
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6
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7
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=
16
z
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6
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Choose
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1
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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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