Question 242499
y+4=-5x  >> Equation 1
y=3x+2   >> Equation 2

First is to transpose all variables in one side.

for Equation 1:
y+4=-5x
5x+y+4=0 >> Our new Equation 1

for Equation 2:
y=3x+2
3x-y+2=0 >> Our new Equation 2

I'll be using the method of eliminating a variable by addition/subtraction:
I'll be eliminating the variable "y" by addition:
  5x+y+4=0
+ 3x-y+2=0
-----------
  8x  +6=0  >> transpose
  8x = -6   >> divide the equation by 8
  8x/8 = -6/8
  x = -3/4  >> we have now a value for x, now we will substitute it to Equation 2.

3x-y+2=0
3(-3/4)-y+2=0  >> transpose y
3(-3/4) + 2 = y  >> solve
-9/4 + 2 = y
y = -1/4 >> we have now a value for y

our solution are: x = -3/4 and y = -1/4