SOLUTION: can someone please help me? solve each system by graphing both equations on the same axes. give the ordered pair for the point of intersection. 6. 5x+5y=8 x=4-y

Question 487399: can someone please help me?
solve each system by graphing both equations on the same axes. give the ordered pair for the point of intersection.
6. 5x+5y=8
x=4-y

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve each system by graphing both equations on the same axes. give the ordered pair for the point of intersection.
5x+5y=8
x=4-y
**
Write equations in standard form for straight lines: y=mx+b, m=slope, b=y-intercept
5x+5y=8
5y=-5x+8
y=-x+8/5
..
x=4-y
y=-x+4
..
Notice that both equations have the same slope of (-1), therefore, they are parallel lines and do not intersect. See graph below as a visual check on the answer:
..

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