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Let’s check out your problem:
Is
c
=
5
c = 5
c
=
5
a solution to this equation?
\newline
−
26
=
−
c
-26 = -c
−
26
=
−
c
\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
c
=
5
c = 5
c
=
5
a solution to this equation?
\newline
−
26
=
−
c
-26 = -c
−
26
=
−
c
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Identify Equation:
We have the equation:
\newline
−
26
=
−
c
-26 = -c
−
26
=
−
c
\newline
Identify the equation after substituting
c
=
5
c = 5
c
=
5
.
\newline
Substitute
5
5
5
for
c
c
c
in
−
26
=
−
c
-26 = -c
−
26
=
−
c
.
\newline
Equation:
−
26
=
−
5
-26 = -5
−
26
=
−
5
Compare Sides:
Compare the two sides of the equation.
\newline
The left side is
−
26
-26
−
26
, and the right side after substitution is
−
5
-5
−
5
.
\newline
Check if
−
26
-26
−
26
is equal to
−
5
-5
−
5
.
Conclude Solution:
Since
−
26
-26
−
26
is not equal to
−
5
-5
−
5
, we can conclude that
c
=
5
c = 5
c
=
5
is not a solution to the equation
−
26
=
−
c
-26 = -c
−
26
=
−
c
.
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\newline
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