3m=5m 8/5 ⇒ 3m 5m= 8/5 ⇒ 2m= 8/5 ⇒ m= 8/5 × ( 2) ⇒ m=4/5 To check: 3m=5m 8/5 ⇒ 3×4/5=5×4/5 8/5 ⇒12/5=4 8/5 ⇒12/5=20 8/5 ⇒12/5=12/5 ⇒ L.H.S. =R.H.S Hence, it ...

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Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

3m=5m -8/5

Question

Question 10
$3 m = 5 m - \frac{8}{5}$

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Solution

$3 m = 5 m - \frac{8}{5}$
$\Rightarrow 3 m - 5 m = \frac{- 8}{5}$
$\Rightarrow - 2 m = \frac{- 8}{5}$
$\Rightarrow m = \frac{- 8}{5 \times (- 2)}$
$\Rightarrow m = \frac{4}{5}$
To check:
$3 m = 5 m - \frac{8}{5}$
$\Rightarrow 3 \times \frac{4}{5} = 5 \times \frac{4}{5} - \frac{8}{5}$
$\Rightarrow \frac{12}{5} = 4 - \frac{8}{5}$
$\Rightarrow \frac{12}{5} = \frac{20 - 8}{5}$
$\Rightarrow \frac{12}{5} = \frac{12}{5}$
$\Rightarrow L . H . S . = R . H . S$
Hence, it is correct.

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Similar questions

Q. Question 10

3 m = 5 m - \frac{8}{5}

Q. Find

m

3 m = 5 m - \frac{8}{5}

If 3m = 5m - $\frac{8}{5},$ then m = ?

(a) $\frac{2}{5}$

(b) $\frac{3}{5}$

(d) $\frac{1}{5}$

Q. Solve the following equations and check your result.

3 m = 5 m - \frac{8}{5}

Q. Solve the following equation and check your results:

3 m = 5 m - \frac{8}{5}

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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Question 10 3m=5m−85

3m=5m−85 ⇒3m−5m=−85 ⇒−2m=−85 ⇒m=−85×(−2) ⇒m=45 To check: 3m=5m−85 ⇒3×45=5×45−85 ⇒125=4−85 ⇒125=20−85 ⇒125=125 ⇒L.H.S.=R.H.S Hence, it is correct.

Question 10
$3 m = 5 m - \frac{8}{5}$