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Welcome to Bytelearn!
Let’s check out your problem:
Solve for
h
h
h
.
\newline
Give an exact answer.
\newline
1.5
(
2
−
4
h
)
=
6
h
1.5(2-4 h)=6 h
1.5
(
2
−
4
h
)
=
6
h
\newline
h
=
h=
h
=
View step-by-step help
Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
h
h
h
.
\newline
Give an exact answer.
\newline
1.5
(
2
−
4
h
)
=
6
h
1.5(2-4 h)=6 h
1.5
(
2
−
4
h
)
=
6
h
\newline
h
=
h=
h
=
Simplify expression using distributive property:
Simplify
1.5
(
2
−
4
h
)
1.5(2 - 4h)
1.5
(
2
−
4
h
)
by using the
distributive property
.
\newline
1.5
(
2
−
4
h
)
1.5(2 - 4h)
1.5
(
2
−
4
h
)
\newline
=
1.5
×
2
−
1.5
×
4
h
1.5 \times 2 - 1.5 \times 4h
1.5
×
2
−
1.5
×
4
h
\newline
=
3
−
6
h
3 - 6h
3
−
6
h
Set up the equation:
Set up the equation from the given system.
3
−
6
h
=
6
h
3 - 6h = 6h
3
−
6
h
=
6
h
Combine like terms:
Combine like terms by adding
6
h
6h
6
h
to both sides of the equation.
\newline
3
−
6
h
+
6
h
=
6
h
+
6
h
3 - 6h + 6h = 6h + 6h
3
−
6
h
+
6
h
=
6
h
+
6
h
\newline
3
=
12
h
3 = 12h
3
=
12
h
Divide both sides to solve for
h
:
Divide both sides by
12
12
12
to solve for
h
.
\newline
\frac{
3
3
3
}{
12
12
12
} = \frac{
12
12
12
h}{
12
12
12
}
\newline
\frac{
1
1
1
}{
4
4
4
} = h
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answer:
\newline
(A) No solutions
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(B) Exactly one solution
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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
9
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=
16
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