Question

$\frac{2x + 5}{2} - \frac{5x}{x - 1} = x$
evaluat by linear equation​

Answer 1

hey hey your ans refer to attachment

Answer 2

Answer:

• x = 1

Step-by-step explanation:

${\small{\tt\bold{\dfrac{2x + 5}{2} - \dfrac{5x}{x - 1} = x}}}$

${\rightarrow{\small{\tt{\dfrac{(2x+5)(x-1)-5x(2)}{2(x-1)} = x}}}}$

${\rightarrow{\small{\tt{\dfrac{(2x^2-2x+5x-5)-10x}{2x-2} = x}}}}$

${\rightarrow{\small{\tt{\dfrac{2x^2 +3x-5-10x}{2x-2} = x}}}}$

${\rightarrow{\small{\tt{ \dfrac{2x^2 - 7x -5}{2x-2} = x}}}}$

By Cross multiplication We get,

${\rightarrow{\small{\tt{2x^2 - 7x -5 = 2x^2 - 2x}}}}$

${\rightarrow{\small{\tt{2x^2 -7x-5-2x^2+2x = 0}}}}$

${\rightarrow{\small{\tt{5x - 5 = 0}}}}$

${\rightarrow{\small{\tt{5x = 5}}}}$

${\implies{\small{ \green{\tt{x = 1}}}}}$