What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x+2 ?

Step-by-step explanation:

|x-5|=x+2

note :  |a| = b and  b≥0 : a=b or a = -b

|x-5|=x+2

x-5 = x+2   or x-5 = - (x+2 ) and x+2 ≥0

that need to be solved to find the solutions for the absolute value equation |x-5|=x+2 :

the first equation is : x-5 = x+2 and x+2 ≥0

the second equation is : x-5 = -x-2 and x+2 ≥0

you need to show the graph

step-by-step explanation: