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Let’s check out your problem:
Solve for
d
d
d
.
\newline
2
d
+
4
=
10
+
2.5
d
d
=
□
\begin{array}{l} 2 d+4=10+2.5 d \\ d=\square \end{array}
2
d
+
4
=
10
+
2.5
d
d
=
□
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations with variables on both sides
Full solution
Q.
Solve for
d
d
d
.
\newline
2
d
+
4
=
10
+
2.5
d
d
=
□
\begin{array}{l} 2 d+4=10+2.5 d \\ d=\square \end{array}
2
d
+
4
=
10
+
2.5
d
d
=
□
Write equation:
Write down the given equation.
\newline
2
d
+
4
=
10
+
2.5
d
2d + 4 = 10 + 2.5d
2
d
+
4
=
10
+
2.5
d
\newline
We need to solve for
d
d
d
by isolating it on one side of the equation.
Subtract variable terms:
Subtract
2
d
2d
2
d
from both sides to move the variable terms to one side.
\newline
2
d
+
4
−
2
d
=
10
+
2.5
d
−
2
d
2d + 4 - 2d = 10 + 2.5d - 2d
2
d
+
4
−
2
d
=
10
+
2.5
d
−
2
d
\newline
This simplifies to:
\newline
4
=
10
+
0.5
d
4 = 10 + 0.5d
4
=
10
+
0.5
d
Isolate term with variable:
Subtract
10
10
10
from both sides to isolate the term with the variable
d
d
d
.
\newline
4
−
10
=
10
−
10
+
0.5
d
4 - 10 = 10 - 10 + 0.5d
4
−
10
=
10
−
10
+
0.5
d
\newline
This simplifies to:
\newline
−
6
=
0.5
d
-6 = 0.5d
−
6
=
0.5
d
Divide to solve for d:
Divide both sides by
0.5
0.5
0.5
to solve for
d
d
d
.
−
6
/
0.5
=
0.5
d
/
0.5
-6 / 0.5 = 0.5d / 0.5
−
6/0.5
=
0.5
d
/0.5
This simplifies to:
d
=
−
12
d = -12
d
=
−
12
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Choose
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\newline
(A) No solutions
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\newline
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\newline
(B) Exactly one solution
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Question
How many solutions does the following equation have?
\newline
9
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=
16
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Choose
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\newline
(A) No solutions
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(B) Exactly one solution
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