a-x-b-y-c-z-1-3-a-2b-c-2-and-2y-z-1-x-An-altered-form-of-q-187020-In-this-case-solveable-

Question Number 187124 by Rasheed.Sindhi last updated on 13/Feb/23

\frac{a}{x} = \frac{b}{y} = \frac{c}{z} = \frac{1}{3},

a - 2 b + c = 2 a n d - 2 y + z = 1

x = ?

You can't use 'macro parameter character #' in math mode

(I n t h i s c a s e s o l v e a b l e)

Answered by HeferH last updated on 13/Feb/23

x = 3 a

y = 3 b

z = 3 c

a + c - 2 b = 2

- 2 (3 b) + 3 c = 1

3 c - 6 b = 1

c - 2 b = \frac{1}{3} \Rightarrow

a + \frac{1}{3} = 2

a = \frac{5}{3} \Rightarrow

x = 3 (\frac{5}{3}) = 5

Commented by Rasheed.Sindhi last updated on 14/Feb/23

T han k s sir!

Answered by mr W last updated on 13/Feb/23

3 (a - 2 b + c) = 3 \times 2

x - 2 y + z = 6

x + 1 = 6

x = 5

Commented by Rasheed.Sindhi last updated on 14/Feb/23

S m a r t a p p r o a c h!

Commented by Rasheed.Sindhi last updated on 14/Feb/23

T h a n X s i r!