Question

Contain linear equations with constants in denominators. Solve each equation. x/5-1/2=x/6

Linear equations and graphs
ANSWERED
asked 2021-07-02
Contain linear equations with constants in denominators. Solve each equation. \(\displaystyle\frac{{x}}{{5}}-\frac{{1}}{{2}}=\frac{{x}}{{6}}\)

Answers (1)

2021-07-03

\(\displaystyle\frac{{x}}{{5}}-\frac{{1}}{{2}}=\frac{{x}}{{6}}\)
\(\displaystyle{x}\frac{{{6}}}{{5}}{\left({6}\right)}-{1}{\left(\frac{{15}}{{2}}{\left({15}\right)}={x}\frac{{{5}}}{{6}}{\left({5}\right)}\right)}\)
\(\displaystyle{6}\frac{{x}}{{36}}-\frac{{15}}{{36}}={5}\frac{{x}}{{36}}\)
\(6x-15=5x\)
\(x-15=0\)
\(x=15\)

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