(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)


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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

	$T h a n X s i r!$
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