Rewrite without absolute value for the given conditions:
y=|x−3|+|x+2|−|x−5|, if x>5

Step-by-step explanation:

hello :

y=|x−3|+|x+2|−|x−5|, if x>5

if x>5 :

|x−3| = x-3 because x-3>0

|x+2| = x+2 because x+2>0

|x−5| = x-5 because x-5>0

so : y = x-3+x+2-(x-5 )

y = 2x+4

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: