SOLUTION: solve by graphing. x-y=2 3x-3y=6

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Question 56680: solve by graphing.
x-y=2
3x-3y=6

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
solve by graphing.
L1) x-y=2
L2) 3x-3y=6
:
For L1)
Let x=0 and solve for y, this is your y-intercept:
0-y=2
-y=2
-(-y)=-(2)
y=-2
Plot (0,-2)
Let y=0 and solve for x, this is your x-intercept:
x-(0)=2
x=2
Plot (2,0)
Connect the dots and you have a line that looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx-2%29
For L2)
Let x=0 and solve for y, this is your y-intercept of this line:
3(0)-3y=6
-3y=6
-3y/3=6/-3
y=-2
Plot (0,-2) Notice that is the same y intercept that L1) had:
Let y=0 and solve for x, this is your x-intercept:
3x-3(0)=6
3x=6
3x/3=6/3
x=2
Plot (2,0) Notice that is the same x-intercept that L1 had. L1 is lying right ontop of L2, in other words they graphically are the same line. The solution is all real numbers:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx-2%2C%28-3x%2B6%29%2F-3%29
Happy Calculating!!!