Answer: Number C
Step-by-step explanation:
Solve
1
Find common denominator
4
.
2
=
−
8
.
5
+
1
0
.
7
4.2=\frac{c}{-8.5}+10.7
4.2=−8.5c+10.7
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
2
Combine fractions with common denominator
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c-17 \cdot 10.7}{-17}
4.2=−172c−17⋅10.7
3
Multiply the numbers
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}
4.2=−172c−17⋅10.7
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}
4.2=−172c−181.9
4
Multiply all terms by the same value to eliminate fraction denominators
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c-181.9}{-17}
4.2=−172c−181.9
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
5
Cancel multiplied terms that are in the denominator
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
-17 \cdot 4.2=2c-181.9
−17⋅4.2=2c−181.9
6
Multiply the numbers
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9
−17⋅4.2=2c−181.9
−
7
1
.
4
=
2
−
1
8
1
.
9
{\color{#c92786}{-71.4}}=2c-181.9
−71.4=2c−181.9
7
Add
1
8
1
.
9
181.9
181.9
to both sides of the equation
−
7
1
.
4
=
2
−
1
8
1
.
9
-71.4=2c-181.9
−71.4=2c−181.9
−
7
1
.
4
+
1
8
1
.
9
=
2
−
1
8
1
.
9
+
1
8
1
.
9
-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}
−71.4+181.9=2c−181.9+181.9
8
Simplify
Add the numbers
Add the numbers
1
1
0
.
5
=
2
110.5=2c
110.5=2c
9
Divide both sides of the equation by the same term
1
1
0
.
5
=
2
110.5=2c
110.5=2c
1
1
0
.
5
2
=
2
2
\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}
2110.5=22c
10
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
55.25
