We can write mixed Fraction asbelow : abc=a.c+bc=a+bc So, 2x 33x 5= 1+15= 45 So, (2x 3)= 45(3x 5) (2x 3)+45(3x 5)=0 2x 3+125x 4=0 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Applications (Word Problem)

2x-33x-5=-115...

Question

Solve $\frac{2 x - 3}{3 x - 5} = - 1 \frac{1}{5}$ .

Open in App

Solution

We can write mixed Fraction as
below : $a \frac{b}{c} = \frac{a . c + b}{c}$
So, $\frac{2 x - 3}{3 x - 5} = \frac{- 4}{5}$
So, $(2 x - 3) = - \frac{4}{5} (3 x - 5)$
$(2 x - 3) + \frac{4}{5} (3 x - 5) = 0$
$2 x - 3 + \frac{12}{5} x - 4 = 0$
$(2 + \frac{12}{5}) x - 7 = 0$
$(\frac{22}{5}) x = 7$
$x = \frac{35}{22} = 1 \frac{13}{22}$
Here $x = 1 \frac{13}{22}$

Suggest Corrections

Similar questions

\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5

\frac{2 x + 7}{5} - \frac{3 x + 11}{2} = \frac{2 x + 8}{3} - 5

x

\frac{2 x}{3} - \frac{x}{5} = \frac{3 x - 11}{4}

$\frac{d}{d x} {\frac{2 x - 3}{3 x + 1}} =$

Solve the equations:

(i) 5x = 3x + 24;

(ii) 8t + 5 = 2t − 31;

(iii) 7x − 10 = 4x + 11;

(iv) 4z + 3 = 6 + 2z;

(v) 2x − 1 = 14 − x;

(vi) 6x + 1 = 3(x − 1) + 7;

(vii) ;

(viii) ;

(ix) 3(x + 1) = 12 + 4 (x − 1);

(x) 2x − 5 = 3(x − 5);

(xi) 6(1 − 4x) + 7(2 + 5x) = 53;

(xii) 3(x + 6) + 2 (x + 3) = 64;

(xiii) ;

(xiv) .

Join BYJU'S Learning Program