9/x+15=4/9 solbe the equation
Answers
Step-by-step explanation:
9/x=4/9-15=-131/9
x=-81/131
Answer:
Subtract
1
5
15
15
from both sides of the equation
9
+
1
5
=
4
9
\frac{9}{x}+15=\frac{4}{9}
x9+15=94
9
+
1
5
−
1
5
=
4
9
−
1
5
\frac{9}{x}+15{\color{#c92786}{-15}}=\frac{4}{9}{\color{#c92786}{-15}}
x9+15−15=94−15
2
Simplify
Subtract the numbers
Subtract the numbers
9
=
−
1
3
1
9
\frac{9}{x}=-\frac{131}{9}
x9=−9131
3
Multiply all terms by the same value to eliminate fraction denominators
9
=
−
1
3
1
9
\frac{9}{x}=-\frac{131}{9}
x9=−9131
⋅
9
=
(
−
1
3
1
9
)
x \cdot \frac{9}{x}=x(-\frac{131}{9})
x⋅x9=x(−9131)
4
Simplify
Cancel multiplied terms that are in the denominator
Re-order terms so that constants are on the left
Combine multiplied terms into a single fraction
9
=
−
1
3
1
9
9=\frac{-131x}{9}
9=9−131x
5
Multiply all terms by the same value to eliminate fraction denominators
9
=
−
1
3
1
9
9=\frac{-131x}{9}
9=9−131x
9
⋅
9
=
9
⋅
−
1
3
1
9
9 \cdot 9=9 \cdot \frac{-131x}{9}
9⋅9=9⋅9−131x
6
Simplify
Multiply the numbers
Cancel multiplied terms that are in the denominator
8
1
=
−
1
3
1
81=-131x
81=−131x
7
Divide both sides of the equation by the same term
8
1
=
−
1
3
1
81=-131x
81=−131x
8
1
−
1
3
1
=
−
1
3
1
−
1
3
1
\frac{81}{{\color{#c92786}{-131}}}=\frac{-131x}{{\color{#c92786}{-131}}}
−13181=−131−131x
8
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
−
8
1
1
3
1
=