If left-4x-5right-left-3x-11right-13-17- the value of x

Question

Toppr Admin · Accepted Answer

Given -4x-5-3x-11-13-17-x21D2-4x-53x-11-1317-x21D2-17-4x-5-13-3x-11-x21D2-68x-85-39x-143-x21D2-68x-x2212-39x-143-x2212-85-x21D2-29x-58-x21D2-x-5829-2-x2234-x-2

If $(4 x + 5) : (3 x + 11) = 13 : 17,$ find the value of $x$

Given : $(4 x + 5) : (3 x + 11) = 13 : 17$

$\Rightarrow \frac{4 x + 5}{3 x + 11} = \frac{13}{17}$

$\Rightarrow 17 (4 x + 5) = 13 (3 x + 11)$

$\Rightarrow 68 x + 85 = 39 x + 143$

$\Rightarrow 68 x - 39 x = 143 - 85$

$\Rightarrow 29 x = 58$

$\Rightarrow x = \frac{58}{29} = 2$

$∴ x = 2$

If (4x+5):(3x+11)=13:17, find the value of x

Given :(4x+5):(3x+11)=13:17⇒4x+53x+11=1317⇒17(4x+5)=13(3x+11)⇒68x+85=39x+143⇒68x−39x=143−85⇒29x=58⇒x=5829=2∴x=2

If $(4 x + 5) : (3 x + 11) = 13 : 17,$ find the value of $x$

Given : $(4 x + 5) : (3 x + 11) = 13 : 17$

$\Rightarrow \frac{4 x + 5}{3 x + 11} = \frac{13}{17}$

$\Rightarrow 17 (4 x + 5) = 13 (3 x + 11)$

$\Rightarrow 68 x + 85 = 39 x + 143$

$\Rightarrow 68 x - 39 x = 143 - 85$

$\Rightarrow 29 x = 58$

$\Rightarrow x = \frac{58}{29} = 2$

$∴ x = 2$