75/5x+75/8(x-10)=1 solve this
Answers
Answer:
5
⋅
+
7
5
8
(
−
1
0
)
=
1
\frac{75}{5} \cdot x+\frac{75}{8}(x-10)=1
575⋅x+875(x−10)=1
Solve
1
Divide the numbers
7
5
5
⋅
+
7
5
8
(
−
1
0
)
=
1
{\color{#c92786}{\frac{75}{5}}} \cdot x+\frac{75}{8}(x-10)=1
575⋅x+875(x−10)=1
1
5
+
7
5
8
(
−
1
0
)
=
1
{\color{#c92786}{15}}x+\frac{75}{8}(x-10)=1
15x+875(x−10)=1
2
Combine multiplied terms into a single fraction
1
5
+
7
5
8
(
−
1
0
)
=
1
15x+\frac{75}{8}(x-10)=1
15x+875(x−10)=1
1
5
+
7
5
(
−
1
0
)
8
=
1
15x+\frac{75(x-10)}{8}=1
15x+875(x−10)=1
3
Distribute
1
5
+
7
5
(
−
1
0
)
8
=
1
15x+\frac{{\color{#c92786}{75(x-10)}}}{8}=1
15x+875(x−10)=1
1
5
+
7
5
−
7
5
0
8
=
1
15x+\frac{{\color{#c92786}{75x-750}}}{8}=1
15x+875x−750=1
4
Multiply all terms by the same value to eliminate fraction denominators
1
5
+
7
5
−
7
5
0
8
=
1
15x+\frac{75x-750}{8}=1
15x+875x−750=1
8
(
1
5
+
7
5
−
7
5
0
8
)
=
8
8(15x+\frac{75x-750}{8})=8
8(15x+875x−750)=8
5
Cancel multiplied terms that are in the denominator
8
⋅
1
5
+
8
⋅
7
5
−
7
5
0
8
=
8
8 \cdot 15x+8 \cdot \frac{75x-750}{8}=8
8⋅15x+8⋅875x−750=8
8
⋅
1
5
+
7
5
−
7
5
0
=
8
8 \cdot 15x+75x-750=8
8⋅15x+75x−750=8
6
Multiply the numbers
8
⋅
1
5
+
7
5
−
7
5
0
=
8
{\color{#c92786}{8}} \cdot {\color{#c92786}{15}}x+75x-750=8
8⋅15x+75x−750=8
1
2
0
+
7
5
−
7
5
0
=
8
{\color{#c92786}{120}}x+75x-750=8
120x+75x−750=8
7
Combine like terms
1
2
0
+
7
5
−
7
5
0
=
8
{\color{#c92786}{120x}}+{\color{#c92786}{75x}}-750=8
120x+75x−750=8
1
9
5
−
7
5
0
=
8
{\color{#c92786}{195x}}-750=8
195x−750=8
8
Add
7
5
0
750
750
to both sides of the equation
1
9
5
−
7
5
0
=
8
195x-750=8
195x−750=8
1
9
5
−
7
5
0
+
7
5
0
=
8
+
7
5
0
195x-750+{\color{#c92786}{750}}=8+{\color{#c92786}{750}}
195x−750+750=8+750
9
Simplify
Add the numbers
Add the numbers
1
9
5
=
7
5
8
195x=758
195x=758
10
Divide both sides of the equation by the same term
1
9
5
=
7
5
8
195x=758
195x=758
1
9
5
1
9
5
=
7
5
8
1
9
5
\frac{195x}{{\color{#c92786}{195}}}=\frac{758}{{\color{#c92786}{195}}}
195195x=195758
11
Simplify
Cancel terms that are in both the numerator and denominator
=
7
5
8
1
9
5
x=\frac{758}{195}
x=195758
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Solution
=
7
5
8
1
9
5
Step-by-step explanation:
follow