Question

Find the value of m if 5m divided by 5-3 - 55

Answer 1

Ello there!

-------------------------------

Pre-Requisite Knowledge

• When in an equation there is a fraction, the denominator goes to other side and multiplies.
• EG: x/12 + 2 = 1, when it shifts happen, it results to x + 2 = 1 × 12
• Then its vice-versa with multiplication.

-------------------------------

Answer

$\frac{5m}{5 - 3}$ = 55  

$\frac{5m}{2}$ = 55

5m = 55 × 2

5m =  110

 m = $\frac{110}{5}$

 m = 22

----------------------------------

Hope It Helps!

Answer 2

Step-by-step explanation:

Solution:

5m ÷ 5-3 = 55

⇒ 5m-(-3) = 55 [∵ am ÷ an = am-n]

⇒ 5m+3 = 55

Comparing the powers of equal bases, we have

m + 3 = 5

m = 5 – 3 = 2, i.e., m = 2.

Hope it helps you