Question

solve 2 x - 5 1 = 3 x + 4 1
$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$
​

Answer 1

Step-by-step explanation:

2x - 51 = 3x + 41

2x - 3x = 41 + 51

- x = 92

x = - 92

Verification : 2 × -92 - 51 = 3× -92 + 41

- 235 = -235

Answer 2

$2x - 51 = 3x + 41$

$2x - 3x = 41 + 51$

$- x = 92$

$x = - 92$

$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

$\frac{x}{2} - \frac{x}{3} = \frac{1}{4} + \frac{1}{5}$

$\frac{3x - 2x}{6} = \frac{5 + 4}{20}$

$\frac{x}{6} = \frac{9}{20}$

$20 \times x = 9 \times 6$

$20x = 54$

$x = \frac{54}{20}$

$x = 2.7$