Question

$explain \: in \: transposition \: method \: \\ \frac{2}{5} (m - 5) + \frac{3}{10} (m + 2) = 24$
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Answer 1

Answer:

Given that 5m−k=4 and 3m−5k=−24

5m−k=4 ............. (1)

3m−5k=−24 ........... (2)

Multiply by 5 both the sides of expression (1) we get

5m×5−5k×5=4×5

⇒25m−5k=20

Substrect (2) with (3) we get

(3m−5k)−(25m−5k)=−24−20

⇒3m−5k−25m+5k=−24−20

⇒3m−25m=−44

⇒−22m=−44

⇒m=

−22

−44

=2