Question

find the linear equation
2x-1/x+1=5/4​

Answer 1

-1/3

Step-by-step explanation:

4(2x-1)=5(x-1)

8x-4=-5x+4

8x-5x=-5+4

3x=-1

x=-1/3

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{2x - 1}{x + 1} = \dfrac{5}{4}$

Step by step explanation

1. First step is to solve the left hand side amd make it in simplest form if possible take common or if many terms then make like terms together.
2. second step is to cross multiply with the given value at the right side.

$\sf \longmapsto4(2x - 1) = 5(x + 1)$

$\sf \longmapsto8x - 4 = 5x + 5$

$\sf \longmapsto8x - 5x = 5 + 4$

$\sf \longmapsto3x = 9$

$\sf \longmapsto\bold{\red{ \: x = 3}}$

Check

$\sf \longmapsto \dfrac{2x - 1}{x + 1}$

$\sf \longmapsto \dfrac{2 \times 3 - 1}{3 + 1}$

$\sf \longmapsto \dfrac{5}{4}$