Question

|x-7|=9 this is real number question of 9th class pls give me answer.​

Answer 1

Answer:

$\Huge \boxed{\textnormal{X=-2 or X=16}}$

Step-by-step explanation:

To solve this problem, first you have to use the absolute value of $\displaystyle|x-7|=9$. Remember to solve this problem, isolate by the x on one side of the equation.

First, you'd use absolute value rules.

$\large \textnormal{x-7=-9  or x-7=9}$

On $\displaystyle x-7=-9$, add 7 from both sides.

$\displaystyle x-7+7=-9+7$

Solve.

$\displaystyle -9+7=\boxed{-2}$

Next, on $\displaystyle x-7=9$, add 7 from both sides.

$\displaystyle x-7+7=9+7$

Solve.

$\displaystyle 9+7=\boxed{16}$

$\large\bigstar\boxed{\textnormal{Therefore, the correct answer is \boxed{X=-2, X=16}}}}.\bigstar$

Answer 2

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$</p><p>\purple{\huge{\boxed{ \tt \odot \: x = 16 \: or, \: - 2 }}}$

$\red {\huge {\underline{ \frak{ Explanations : }}}}$

$</p><p>\large{ \underline{\mathcal{\star \:Given : }}}$

• |x - 7| = 9 ; this is Real Number

$</p><p>\large{ \underline{\mathcal{\star \: To \: Find : }}}</p><p>$

• Find the Value of x

$</p><p></p><p>\large{ \underline{\mathcal{\star \: Solution : }}}$

$\implies \bold{|x - 7| = 9}$

$\implies \bold{(x - 7 = 9) \: or, \: (x - 7 = - 9)}$

$\implies \bold{(x = 9 + 7) \: or, \: (x = - 9 + 7)}$

$\large\blue{\boxed{ \implies \bold{ x = 16 \: or, \: x = - 2}}}$

$\huge{\red{\ddot{\smile}}}$