Answer:

Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hello :)
3x+y=27
-3x+4y= -42
+____________
(3x -3x) + (y+4y) = (27-42)
0 + 5y = -15
y = -3
Put "-3" for "y" in the system:
3x + y =27
3x -3=27
3x = 30
x = 10
Answer = x:10 y: -3
Have a nice day :)
Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 =
; y = 20 sin 45 ; y= 14.14 miles
cos 45 =
; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+ 
=
+ 
= 3131.08
= 
z = 55.96 miles