Answer:
Jada walked [tex]13\ miles[/tex]
Elena walked [tex]9\ miles[/tex]
Lin walked [tex]15\ miles[/tex]
Step-by-step explanation:
Let
x----> total miles walked by Jada
y----> total miles walked by Elena
z----> total miles walked by Lin
we know that
[tex]x+y+z=37[/tex] -----> equation A
[tex]x=y+4[/tex] -----> [tex]y=x-4[/tex] ------> equation B
[tex]z=x+2[/tex] ------> equation C
Substitute equation C and equation B in equation A and solve for x
[tex]x+(x-4)+(x+2)=37[/tex]
[tex]3x=37+2[/tex]
[tex]3x=39[/tex]
[tex]x=13\ mi[/tex]
Find the value of y
[tex]y=13-4=9\ mi[/tex]
Find the value of z
[tex]z=13+2=15\ mi[/tex]
therefore
Jada walked [tex]13\ miles[/tex]
Elena walked [tex]9\ miles[/tex]
Lin walked [tex]15\ miles[/tex]
