Question

5/2x+3=21/2 .............................

Answer 1

Answer:

(5)/(2)*x+3=(21)/(2)

(5x)/(2)+3=(21)/(2)

(5x)/(2)=-3+(21)/(2)

(5x)/(2)=(15)/(2)

(5x)/(2)*2=(15)/(2)*2

5x=(15)/(2)*2

5x=15

(5x)/(5)=(15)/(5)

x=(15)/(5)

x=3

hope it will help you

LEEZA

Answer 2

The value of x = 3

GIVEN:-

$\frac{5}{2} x + 3 = \frac{21}{2}$

TO FIND:- the value of x

SOLUTION:-

According to the question,

We'll take LCM as 2 for making both denominators equal.

$\frac{5}{2} x + 3 = \frac{21}{2} \\ \frac{5 \times 1 \times x}{2} + \frac{3 \times 2}{1 \times 2} = \frac{21}{2} \\ \frac{5x}{2} + \frac{6}{2} = \frac{21}{2} \\ \frac{5x + 6}{2} = \frac{21}{2}$

The denominator of both sides is equal so both will be reduced to 1

$5x + 6 = 21$

When we shift any variable or number from one side to another then the sign changes

$5x = 21 - 6 \\ 5x = 15$

Dividing both sides by 5

$\frac{5x}{5} = \frac{15}{5} \\ x = 3$

Hence, the value of x = 3

#SPJ2