Question

Value of x in equation mentioned below is 30 x + 1/5 = 2 - x

Answer 1

GIVEN :

• $\bf 30x+\dfrac {1}{5}=2-x$

TO FIND :

• The value of x.

SOLUTION :

$\longrightarrow\sf 30x+{\dfrac {1}{5}}=2-x$

$\longrightarrow\sf {\dfrac {150x+1}{5}}=2-x$

• Use cross multiplication method :

$\longrightarrow\sf 150x+1=5 (2-x)$

$\longrightarrow\sf 150x+1=10-5x$

• Transposing 1 to right side and -5x to left side :

$\longrightarrow\sf 150x+5x=10-1$

$\longrightarrow\sf 155x=9$

• Dividing both sides by 155 :

$\longrightarrow\sf x={\dfrac {9}{155}}$

$\huge {\pink {\therefore}}$ The value of x is $\bf{\dfrac {9}{155}}$ .