Question
Solve the following equations. Check your result in case.
$\frac{2\text{m}+5}{3}=3\text{m}-10$
$\frac{2\text{m}+5}{3}=3\text{m}-10$
✓
Answer
$\frac{2\text{m}+5}{3}=3\text{m}-10$
$\Rightarrow 2m + 5 = 3 (3m - 10)$ (By cross multiplication)
$\Rightarrow 2m + 5 = 9m - 30$
$\Rightarrow 2m - 9m = -30 - 5$
$\Rightarrow -7m = -35$
$\Rightarrow m = 5$
$m = 5$
Check:
$\text{L.H.S.}=\frac{2\text{m}+5}{3}=\frac{2\times5+5}{3}$
$=\frac{10+5}{3}=\frac{15}{3}=5$
$R.H.S. = 3m - 10 = 3 \times 5 - 10 = 15 - 10 = 5$
$L.H.S. = R.H.S.$
Hence $m = 5$
$\Rightarrow 2m + 5 = 3 (3m - 10)$ (By cross multiplication)
$\Rightarrow 2m + 5 = 9m - 30$
$\Rightarrow 2m - 9m = -30 - 5$
$\Rightarrow -7m = -35$
$\Rightarrow m = 5$
$m = 5$
Check:
$\text{L.H.S.}=\frac{2\text{m}+5}{3}=\frac{2\times5+5}{3}$
$=\frac{10+5}{3}=\frac{15}{3}=5$
$R.H.S. = 3m - 10 = 3 \times 5 - 10 = 15 - 10 = 5$
$L.H.S. = R.H.S.$
Hence $m = 5$
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