5x/3+2/5=1 Please give full explaination
Answers
Answer:
5
3
+
2
5
=
1
\frac{5x}{3}+\frac{2}{5}=1
35x+52=1
5
3
+
2
5
−
2
5
=
1
−
2
5
\frac{5x}{3}+\frac{2}{5}{\color{#c92786}{-\frac{2}{5}}}=1{\color{#c92786}{-\frac{2}{5}}}
35x+52−52=1−52
2
Simplify
Subtract the numbers
Subtract the numbers
5
3
=
3
5
\frac{5x}{3}=\frac{3}{5}
35x=53
3
Multiply all terms by the same value to eliminate fraction denominators
5
3
=
3
5
\frac{5x}{3}=\frac{3}{5}
35x=53
3
⋅
5
3
=
3
⋅
3
5
3 \cdot \frac{5x}{3}=3 \cdot \frac{3}{5}
3⋅35x=3⋅53
4
Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
5
=
9
5
5x=\frac{9}{5}
5x=59
5
Divide both sides of the equation by the same term
5
=
9
5
5x=\frac{9}{5}
5x=59
5
5
=
9
5
5
\frac{5x}{{\color{#c92786}{5}}}=\frac{\frac{9}{5}}{{\color{#c92786}{5}}}
55x=559
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
9
2
5
Answer:
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