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Let’s check out your problem:
Is
f
=
86
f = 86
f
=
86
a solution to this equation?
\newline
86
f
=
1
\frac{86}{f} = 1
f
86
=
1
\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
f
=
86
f = 86
f
=
86
a solution to this equation?
\newline
86
f
=
1
\frac{86}{f} = 1
f
86
=
1
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Identify Equation:
We have the equation:
\newline
86
/
f
=
1
86 / f = 1
86/
f
=
1
\newline
Identify the equation after substituting
f
=
86
f = 86
f
=
86
.
\newline
Substitute
86
86
86
for
f
f
f
in
86
/
f
=
1
86 / f = 1
86/
f
=
1
.
\newline
Equation:
86
/
86
=
1
86 / 86 = 1
86/86
=
1
Substitute and Simplify:
Simplify
86
/
86
86 / 86
86/86
.
\newline
86
/
86
=
1
86 / 86 = 1
86/86
=
1
\newline
Check if the simplified value is equal to the right-hand side of the equation.
\newline
1
=
1
1 = 1
1
=
1
is true.
Check Simplified Value:
We found that when
f
=
86
f = 86
f
=
86
, the equation becomes
1
=
1
1 = 1
1
=
1
, which is true.
\newline
So,
f
=
86
f = 86
f
=
86
is a solution to the equation
86
f
=
1
\frac{86}{f} = 1
f
86
=
1
.
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