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
