Question

what is the solution to the rational equation

Answer 1

\[\frac{ x }{ 2x + 1 } - \frac{ 1 }{ 4 } = \frac{ 2 }{ 2x + 1 }\]

Answer 2

A) x = 9 over 2

B) x = 7 over 2

C) x = 2

D) x = 3

Answer 3

\(\bf \cfrac{ x }{ 2x + 1 } - \cfrac{ 1 }{ 4 } = \cfrac{ 2 }{ 2x + 1 }\qquad {\color{red}{ \times 4(2x+1)}}
\\ \quad \\
{\color{red}{ 4\cancel{(2x+1)}\times }}\cfrac{ x }{ \cancel{2x + 1} } - {\color{red}{ \cancel{4}(2x+1)\times }}\cfrac{ 1 }{ \cancel{4} } = {\color{red}{ 4\cancel{(2x+1)}\times }}\cfrac{ 2 }{ \cancel{2x + 1} }\)

then solve for "x"