Question

Find the value of x in 7x -11 1/2 = 2 1/2

Answer 1

Answer, x is 2

Hoep This Helps

Answer 2

Given that,

7x - 11 $\frac{1}{2} = 2 \frac{1}{2}$

7x = 11 $\frac{1}{2} + 2 \frac{1}{2}$

7x = $\frac{(22 + 1)}{2} \frac{(4 + 1)}{2}$

7x = $\frac{23}{2} + \frac{5}{2}$

7x = 14

x = $\frac{14}{7}$

x = $\frac{\cancel{14}}{\cancel{7}}$

$\boxed{\bold{x = 2}}$

Verification:

Put x as 2 in the equation, 7x - 11 $\frac{1}{2} = 2 \frac{1}{2}$

7(2) - 11 $\frac{1}{2} = \frac{1}{2}$

14 - 11 $\frac{1}{2} = 2 \frac{1}{2}$

2 $\frac{1}{2} = 2 \frac{1}{2}$

$\boxed{\bold{Hence,\:verified.}}$

Therefore, x = 2.