Question

solve the following equation check your answer 4x+1/7x-1=1/2​

Answer 1

SteP-By-StEp ExpLanATiOn:

.

$:\implies\bf \frac{4x + 1}{7x - 1} = \frac{1}{2}$

$:\implies\tt 2(4x + 1) = 7x - 1$

$:\implies\tt 8x + 2 = 7x - 1$

$:\implies\tt 8x - 7x = - 2 - 1$

$:\implies \color{red} \boxed {\bf x = - 3}$

VeRifiCaTioN,

.

$:\implies\bf\frac{4x + 1}{7x - 1} = \frac{1}{2}$

$:\implies\tt \frac{4( - 3) + 1}{7( - 3) - 1} = \frac{1}{2}$

$:\implies\tt \frac{ - 12 + 1}{ - 21 - 1} = \frac{1}{2}$

$:\implies\tt \frac{ - 11}{ - 22} = \frac{1}{2}$

$:\implies\tt \frac{1}{2} = \frac{1}{2}$

$:\implies\bf LHS = RHS$

ReQuiRed AnSwEr,

.

• The value of x is - 3.