Question 242499: y+4=-5x
y=3x+2
Answer by philline_palana(20)   (Show Source):
You can put this solution on YOUR website! 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
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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
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