Question

Contain linear equations with constants in denominators. Solve each equation.3x/5-x=x/10-5/2

Linear equations and graphs
ANSWERED
asked 2021-06-29

Contain linear equations with constants in denominators. Solve each equation. \(\frac{3x}{5}-x=\frac{x}{10}-\frac{5}{2}\)

Expert Answers (1)

2021-06-30

\(\displaystyle{3}\frac{{x}}{{5}}-{x}=\frac{{x}}{{10}}-\frac{{5}}{{2}}\)
\(\displaystyle{3}{x}\frac{{{2}}}{{5}}{\left({2}\right)}-{x}\frac{{{10}}}{{1}}{\left({10}\right)}=\frac{{x}}{{10}}-{5}\frac{{{5}}}{{2}}{\left({5}\right)}\)
\(6x-10x=x-25\)
\(-4x=x-25\)
\(-5x=-25\)
\(x=5\)

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