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Let’s check out your problem:
Solve for
j
j
j
.
\newline
2
(
j
+
1
)
=
10
2(j + 1) = 10
2
(
j
+
1
)
=
10
View step-by-step help
Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
j
j
j
.
\newline
2
(
j
+
1
)
=
10
2(j + 1) = 10
2
(
j
+
1
)
=
10
Distribute property simplification:
Simplify
2
(
j
+
1
)
2(j + 1)
2
(
j
+
1
)
by using the
distributive property
.
\newline
2
(
j
+
1
)
2(j + 1)
2
(
j
+
1
)
\newline
=
2
(
j
)
+
2
(
1
)
2(j) + 2(1)
2
(
j
)
+
2
(
1
)
\newline
=
2
j
+
2
2j + 2
2
j
+
2
Equation setup:
Set up the equation with the given value.
\newline
2
j
+
2
=
10
2j + 2 = 10
2
j
+
2
=
10
Isolate variable:
Isolate
2
j
2j
2
j
by subtracting
2
2
2
from both sides of the equation.
\newline
2
j
+
2
−
2
=
10
−
2
2j + 2 - 2 = 10 - 2
2
j
+
2
−
2
=
10
−
2
\newline
2
j
=
8
2j = 8
2
j
=
8
Divide to solve:
Divide both sides by
2
2
2
to solve for
j
j
j
.
2
j
2
=
8
2
\frac{2j}{2} = \frac{8}{2}
2
2
j
=
2
8
j
=
4
j = 4
j
=
4
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6
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x
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7
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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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(B) Exactly one solution
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How many solutions does the following equation have?
\newline
9
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=
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Choose
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(A) No solutions
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(B) Exactly one solution
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