why do they have to have names starting with same letter
x=roy's age now y=rachel's age now
roy is 96 years younger than rachel x=y-96
6 years ago (x-6 and y-6), rachel's age was 4 times roy's age so y-6=4(x-6)
so x=y-96 and y-6=4(x-6)
use x=y-96 add 96 both sides x+96=y subsiute x+96 for y in other equation
y-6=4(x-6) x+96-6=4(x-6) x+90=4(x-6) distribute x+90=4x-24 add 24 to both sides x+114=4x minus x both sides 114=3x divide both sides by 3 38=x x=38 roy is 38 years old now
