Answer:
x=2 y=-2
Step-by-step explanation:
you can solve this with the elimination process
-10x+6y=-32
-6x+6y=-24
you can multiply the bottom equation by a -1
-10x+6y=-32
-1(-6x+6y=-24)
making it
-10x+6y=-32
6x-6y=24
this allows you to cancel out 6y because 6y-6y=0
so you are left with
-10x=-32
6x=24
add them
-10x=-32
+6x=24
________
-4x=-8
divide by -4=2
x=2
plug that into the original equation
-10(2)+6y=-32
-6(2)+6y=-24
=
-20+6y=-32
-12+6y=-24
add them
-20+6y=-32
+-12+6y=-24
_________
-32+6y=-56
add 32
-56+32=-24
y=-24
First plane
t = 2 hours.
r = r
Second plane
t = 1.5 hours
(30 minutes = 1/2 hour. the second plain has been in the air 2 - 1/2 hour = 1.5 hours. )
r = r + 30
Equation
2 * r + 1.5(r + 50) = 2000
2r + 1.5r + 75 = 2000
3.5r = 2000 - 75
3.5r = 1925
r = 1925 / 3.5
r = 550
the first plane was going 550 mph
the second plan was going 600 mph
