Question 793707
Solve the system by the elimination method.
   5x-y=-14+2x+y
   7x+9y+4=3x+8y

solve eq.1
eq.1 5x-y=-14+2x+y 

first combine the similar terms
    5x-2x-y+y=-14
then proceed to cancellation of like terms:
    5x-2x-y+y=-14
    3x       =-14

solve eq.2
eq.2 7x+9y+4=3x+8y

first combine the similar terms:
     7x-3x+9y-8y=-4
then proceed to cancellation of like terms:
     4x+y=-4


combine the answer in eq.1 and 2

by elimination method we have:
       3x  =-14 (minus)  4x+y=-4

the answer is:    -x+y=-10
multiplying both side by -1 we have
   -1(-x+y=-10)-1

final answer:  x-y=10