SOLUTION: y=x-3 and y=3x+5 substitution

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Question 609551: y=x-3 and y=3x+5 substitution

Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
In this question: we can substitute y from the first equation into the second equation (a special type of substitution called the y=y method).
This gives us:
x=3=3x%2B5
Now we need to isolate x and solve:
x-3x=5-3
-2x=2
x=2%2F-2
x=-1
Now we have our x value, we need to substitute this into either of the original equations and solve for y (I will put it inot the y=x-3 equation though either choice will give you the same answer)
y=-1-3
y=-2

So the point of intersection is (-1,-2)