SOLUTION: i dont understand how to do this problem: y=3x-7 y=-x+1

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Question 59266This question is from textbook algebra 1
: i dont understand how to do this problem:
y=3x-7
y=-x+1This question is from textbook algebra 1

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x-7
y=-x+1
We're looking for when their x=x and y=y, so set the problems equal to each other.
3x-7=-x+1
3x+x-7=x-x+1
4x-7=1
4x-7+7=1+7
4x=8
4x/4=8/4
x=2
Let x=2 and solve for y in one of the equations.
y=-(2)+1
y=-1
The solution is:(2,-1)
Graphically, it's their point of intersection:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C3x-7%2C-x%2B1%29
Happy Calculating!!!