Question

plz answer quickly and with steps:

Answer 1

Step-by-step explanation:

2x - 1 x - 2

———— + 1 = ———— + 2

3. 3

( 2x - 1 ) + 3 ( x - 2 ) + 6

——————— = ———————

3. 3

( 2x - 1 ) + 3 = ( x - 2 ) + 6

( 2x - 1 ) - ( x - 2 ) = 6 - 3

( 2x - 1 ) + ( - x + 2 ) = 3

x + 1 = 3

x = 3 - 1

x = 2

Answer 2

$\large\green{\sf\bold{Solution}}$

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

$\frac{2x - 1 + 3}{3} = \frac{x - 2 + 6}{ 3}$

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

• By the method of cross multiplication

$3(2x + 2) = 3(x + 4)$

$6x + 6 = 3x + 12$

$6x - 3x = 12 - 6$

$3x = 6$

$x = \frac{ 6}{3}$

$x = 2$

${\sf\bold{Verification}}$

Putting x in the equations.

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

$\frac{2 \times 2 - 1}{3} + 1 = \frac{2 - 2}{3} + 2$

$\frac{4 - 1}{3} + 1 = \frac{0}{3} + 2$

$\frac{3}{3} + 1 = 0 + 2$

$1 + 1 = 0 + 2$

$2 = 2$

.°. L.H.S = R.H.S

Hence verified