Answer:
x = 9, AR = 25 , AM = 40
Step-by-step explanation:
Since AM = AR + RM and AM also = 7x-23
7x - 23 = (2x + 7) + 15
7x - 23 = 2x + 22
+23 +23
7x = 2x + 45
-2x -2x
5x = 45
x = 9
Now plug x = 9 into 2x + 7 to find AR
AR = 2x + 7
= 2 (9) + 7
= 18 + 7
AR = 25
Now to find AM plug x = 9 into 7x - 23
AM = 7x - 23
= 7 (9) - 23
= 63 - 23
AM = 40
To double check, we already know that RM = 15, so add AR + RM to find AM
AM = 25 + 15
AM = 40
