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antoniya [11.8K]
3 years ago
9

Can someone explain how to get the answer,

title=" \frac{105}{2} " alt=" \frac{105}{2} " align="absmiddle" class="latex-formula">
? I'm confused

Mathematics
2 answers:
krek1111 [17]3 years ago
4 0
\bf \cfrac{x}{5}-\cfrac{x}{7}=3\impliedby 
\begin{array}{llll}
\textit{let's multiply both sides by }\stackrel{LCD}{35}\\
\textit{to do away with the denominators}
\end{array}
\\\\\\
35\left( \cfrac{x}{5}-\cfrac{x}{7}\right)=35(3)\implies 7x-5x=105
\\\\\\
2x=105\implies x=\cfrac{105}{2}
svetlana [45]3 years ago
3 0
First eliminate the fractions by multiplying each term by 35:-

7x - 5x = 105

2x = 105

x = 105/2


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