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Let’s check out your problem:
a)
5
N
=
0.01
(
N
−
76
)
5 N=0.01(N-76)
5
N
=
0.01
(
N
−
76
)
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Math Problems
Grade 8
Describe the graph of a linear equation
Full solution
Q.
a)
5
N
=
0.01
(
N
−
76
)
5 N=0.01(N-76)
5
N
=
0.01
(
N
−
76
)
Identify equation and distribute:
Identify the equation and distribute the
0.01
0.01
0.01
to both terms inside the parentheses.
\newline
5
N
=
0.01
N
−
0.01
×
76
5N = 0.01N - 0.01 \times 76
5
N
=
0.01
N
−
0.01
×
76
Perform multiplication:
Perform the multiplication
0.01
×
76
0.01 \times 76
0.01
×
76
.
5
N
=
0.01
N
−
0.76
5N = 0.01N - 0.76
5
N
=
0.01
N
−
0.76
Subtract from both sides:
Subtract
0.01
N
0.01N
0.01
N
from both sides to get all
N
N
N
terms on one side.
\newline
5
N
−
0.01
N
=
−
0.76
5N - 0.01N = -0.76
5
N
−
0.01
N
=
−
0.76
Combine like terms:
Combine like terms on the left side.
\newline
4.99
N
=
−
0.76
4.99N = -0.76
4.99
N
=
−
0.76
Divide to solve for N:
Divide both sides by
4.99
4.99
4.99
to solve for
N
N
N
.
\newline
N
=
−
0.76
4.99
N = \frac{-0.76}{4.99}
N
=
4.99
−
0.76
Perform division:
Perform the division to find the value of
N
N
N
.
N
≈
−
0.1523
N \approx -0.1523
N
≈
−
0.1523
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