17 mark for review |x - 9|+45 = 63 what is the sum of the solutions to the given equation?

Explanation:

Step1: Isolate the absolute - value term

Subtract 45 from both sides of the equation $|x - 9|+45 = 63$. $|x - 9|=63 - 45$ $|x - 9| = 18$

Step2: Consider two cases

Case 1: $x−9 = 18$. Solve for $x$: $x=18 + 9$ $x = 27$ Case 2: $x−9=-18$. Solve for $x$: $x=-18 + 9$ $x=-9$

Step3: Calculate the sum of the solutions

Add the two solutions together: $27+( - 9)=27 - 9=18$

Answer:

18