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Make M the Subject of the Formula X = My 14 − Mt . Find M, When X = 6, Y = 10 and T = 3. - Mathematics

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Question

Make m the subject of the formula x = `"my"/(14 - "mt")`. Find m, when x = 6, y = 10 and t = 3.

Sum

Solution

x = `"my"/(14 - "mt")`

⇒ (14 - mt) x = my
⇒ 14x - mtx = my
⇒ -mtx - my = -14x
⇒ m(tx + y) = 14x

⇒ m = `(14x)/("tx" + y)`

Substituting x = 6, y = 10 and t = 3

m = `(14 xx 6)/(3 xx 6 +10)`

= `(14 xx 6)/(28)`
= 3.

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Changing the Subject of a Formula
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Chapter 6: Changing the subject of a formula - Exercise 6.3

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Frank Mathematics [English] Class 9 ICSE
Chapter 6 Changing the subject of a formula
Exercise 6.3 | Q 9
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