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
$\frac{2\text{m}+5}{3}=3\text{m}-10$
⇒ 2m + 5 = 3 (3m - 10) (By cross multiplication)
⇒ 2m + 5 = 9m - 30
⇒ 2m - 9m = -30 - 5
⇒ -7m = -35
⇒ 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 × 5 - 10 = 15 - 10 = 5
L.H.S. = R.H.S.
Hence m = 5
⇒ 2m + 5 = 3 (3m - 10) (By cross multiplication)
⇒ 2m + 5 = 9m - 30
⇒ 2m - 9m = -30 - 5
⇒ -7m = -35
⇒ 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 × 5 - 10 = 15 - 10 = 5
L.H.S. = R.H.S.
Hence m = 5
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