Question

How to solve 1/2(x-3)=9 linear equation

Answer 1

Answer:

$\boxed{ \bold{ \sf{ \boxed{x = 21}}}}$

Step-by-step explanation:

$\sf{ \frac{1}{2} (x - 3) = 9}$

Distribute 1/2 through the parentheses

⇒$\sf{ \frac{1}{2} x - \frac{1}{2} \times 3 = 9}$

Multiply the fractions

⇒$\sf{ \frac{1}{2} x - \frac{1 \times 3}{2 \times 1} = 9}$

⇒$\sf{ \frac{1}{2} x - \frac{3}{2} = 9}$

While performing the addition or subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.

⇒$\sf{ \frac{x - 3}{2} = 9}$

Apply cross product property

⇒$\sf{x - 3 = 9 \times 2}$

Multiply the numbers

⇒$\sf{x - 3 = 18}$

Move 3 to right hand side and change it's sign

⇒$\sf{x = 18 + 3}$

Add the numbers

⇒$\sf{x = 21}$

Hope I helped!

Best regards!!