Question

Solve the equation |5-x|=2

Answer 1

Hi,

Work:

Equation;


`|5 - x| = 2`

Rewrite the absolute value equation as two separate equations, one positive and the other one negative.


`5 - x = 2 \\ 5 - x = - 2`

Solve both equations for x.


`x = 3 \\ x = 7`

Final solutions:


`x1 = 3 \\ x2 = 7`

Hope this helps.
r3t40

Answer 2

`|5-x|=2\iff5-x=2\ \vee\ 5-x=-2\ \ \ \ |-5\\\\-x=-3\ \vee\ -x=-7\ \ \ |\text{change the signs}\\\\\boxed{x=3\ \vee\ x=7}`