Question

linear equation solver the following equation 3 by (2x-1) + 4 by (2x+1)=7by2x​

Answer 1

Answer:

Step-by-step explanation:

The solution for equation 3/(2x-1) +4/(2x+1) = 7/2x is 7/2.

Given:

\frac{3}{2x-1}+\frac{4}{2x+1}=\frac{7}{2x}

⇒\frac{3(2x+1)+4(2x-1)}{(2x-1)(2x+1)}=\frac{7}{2x}

⇒{3(2x+1)+4(2x-1)=\frac{7\times(2x-1)(2x+1)}{2x}

⇒6x+3+8x-4=\frac{7(4x^2+2x-2x-1)}{2x}

⇒14x-1=\frac{7(4x^2-1)}{2x}

⇒2x(14x-1)=7(4x^2-1)

⇒28x^2-2x=28x^2-7

⇒-2x=-7

⇒x=\frac{7}{2}