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Let’s check out your problem:
Is
d
=
−
9
d = -9
d
=
−
9
a solution to this equation?
\newline
1
=
−
8
−
d
1 = -8 - d
1
=
−
8
−
d
\newline
Choices:
\newline
(A)yes
\newline
(B)no
View step-by-step help
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Math Problems
Algebra 1
Does x satisfy the equation?
Full solution
Q.
Is
d
=
−
9
d = -9
d
=
−
9
a solution to this equation?
\newline
1
=
−
8
−
d
1 = -8 - d
1
=
−
8
−
d
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Identify Equation:
Identify the equation after substituting
d
=
−
9
d = -9
d
=
−
9
.
\newline
Substitute
−
9
-9
−
9
for
d
d
d
in
1
=
−
8
−
d
1 = -8 - d
1
=
−
8
−
d
.
\newline
Equation:
1
=
−
8
−
(
−
9
)
1 = -8 - (-9)
1
=
−
8
−
(
−
9
)
Simplify Right Side:
Simplify the right side of the equation.
\newline
1
=
−
8
+
9
1 = -8 + 9
1
=
−
8
+
9
(since subtracting a negative is the same as adding the positive)
Perform Addition:
Perform the addition on the right side.
\newline
1
=
1
1 = 1
1
=
1
(since
–
8
+
9
–8 + 9
–8
+
9
equals
1
1
1
)
Compare Sides:
Compare both sides of the equation.
\newline
Since both sides of the equation are equal
1
=
1
1 = 1
1
=
1
,
d
=
−
9
d = -9
d
=
−
9
is indeed a solution to the equation
1
=
−
8
−
d
1 = -8 - d
1
=
−
8
−
d
.
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\newline
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\newline
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