1/-8 = 1/-20 +1/x then find x
Answers
Answer:
1
−
8
=
1
−
2
0
+
1
\frac{1}{-8}=\frac{1}{-20}+\frac{1}{x}
−81=−201+x1
Solve
1
Divide the numbers
1
−
8
=
1
−
2
0
+
1
−
1
8
=
1
−
2
0
+
1
2
Divide the numbers
−
1
8
=
1
−
2
0
+
1
−
1
8
=
−
1
2
0
+
1
3
Add
1
2
0
\frac{1}{20}
201
to both sides of the equation
−
1
8
=
−
1
2
0
+
1
−
1
8
+
1
2
0
=
−
1
2
0
+
1
+
1
2
0
4
Simplify
Add the numbers
Add the numbers
−
3
4
0
=
1
5
Multiply all terms by the same value to eliminate fraction denominators
−
3
4
0
=
1
(
−
3
4
0
)
=
⋅
1
6
Simplify
Re-order terms so that constants are on the left
Combine multiplied terms into a single fraction
Cancel multiplied terms that are in the denominator
−
3
4
0
=
1
7
Multiply all terms by the same value to eliminate fraction denominators
−
3
4
0
=
1
4
0
⋅
−
3
4
0
=
4
0
⋅
1
8
Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
−
3
=
4
0
9
Divide both sides of the equation by the same term
−
3
=
4
0
−
3
−
3
=
4
0
−
3
10
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
4
0
3
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Solution
=
−
4
0
3