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Let’s check out your problem:
Solve for
w
w
w
.
\newline
11
=
w
2
+
7
11 = \frac{w}{2} + 7
11
=
2
w
+
7
\newline
w
=
w =
w
=
_____
View step-by-step help
Home
Math Problems
Algebra 1
Solve two-step linear equations
Full solution
Q.
Solve for
w
w
w
.
\newline
11
=
w
2
+
7
11 = \frac{w}{2} + 7
11
=
2
w
+
7
\newline
w
=
w =
w
=
_____
Start with equation:
We start with the equation:
\newline
11
=
w
2
+
7
11 = \frac{w}{2} + 7
11
=
2
w
+
7
\newline
To isolate
w
2
\frac{w}{2}
2
w
, we need to subtract
7
7
7
from both sides of the equation.
\newline
11
−
7
=
w
2
+
7
−
7
11 - 7 = \frac{w}{2} + 7 - 7
11
−
7
=
2
w
+
7
−
7
\newline
4
=
w
2
4 = \frac{w}{2}
4
=
2
w
Isolate
w
/
2
w/2
w
/2
:
Now that we have
w
/
2
w/2
w
/2
, we can find the value of
w
w
w
by multiplying both sides of the equation by
2
2
2
.
4
×
2
=
w
2
×
2
4 \times 2 = \frac{w}{2} \times 2
4
×
2
=
2
w
×
2
8
=
w
8 = w
8
=
w
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\newline
(A) No solutions
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(B) Exactly one solution
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How many solutions does the following equation have?
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−
6
(
x
+
7
)
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−
4
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−
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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How many solutions does the following equation have?
\newline
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\newline
Choose
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\newline
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(B) Exactly one solution
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\newline
Choose
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\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
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z
=
16
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6
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\newline
Choose
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\newline
(A) No solutions
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(B) Exactly one solution
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