SOLUTION: the graphs of x+y=4 and 3x+3y=6 A) intersects at the point(1,3) B) intersects at the point(3,1) C) do not intersect D) intersects at the point(2,2)

Algebra ->  Linear-equations -> SOLUTION: the graphs of x+y=4 and 3x+3y=6 A) intersects at the point(1,3) B) intersects at the point(3,1) C) do not intersect D) intersects at the point(2,2)      Log On


   

Question 830241: the graphs of x+y=4 and 3x+3y=6
A) intersects at the point(1,3)
B) intersects at the point(3,1)
C) do not intersect
D) intersects at the point(2,2)
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
First make the equations slope-intercept form y=mx%2Bb

x%2By=4
y=-x%2B4
This line has a slope of -1 and has a y intercept at (0,4).

3x%2B3y=6
3y=-3x%2B6
y=-x%2B2
This line has a slope of -1 and has a y intercept of (0,2).
These lines are parallel so they will never instersect. The answer is C.
graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B4%2C+-x%2B2+%29
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Email me at ericahigley@yahoo.com for me free step by step help.