SOLUTION: SOLVE THE SYSTEM BY GRAPHING X+Y=4 -X+Y=2 ANY AND ALL ASSISTANCE WOULD BE SO GRATEFUL..PLEASE

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Question 56880: SOLVE THE SYSTEM BY GRAPHING
X+Y=4
-X+Y=2
ANY AND ALL ASSISTANCE WOULD BE SO GRATEFUL..PLEASE

Found 2 solutions by tutorcecilia, funmath:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=4 [Re-write in the slope-intercept format (y=mx+b)]
y=-x+4 [Graph]
.
-X+Y=2 [Re-write in the slope-intercept format (y=mx+b)]
y=x+2 [Graph].
.
Both lines have points (1, 3) in common (point of intersection)
.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2B4%2C+x%2B2%29+

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
SOLVE THE SYSTEM BY GRAPHING
L1) X+Y=4
L2) -X+Y=2
For L1, graph using the intercept method:
Let x=0, then solve for y:
0+y=4
y=4
Plot (0,4) (this is the y-intercept)
Then let y=0 and solve for x:
x+0=4
x=4
Plot (4,0) (this is the x-intercept)
Connect the points and you have a line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%29
For L2, graph using the intercept method:
Let x=0 and solve for y:
-(0)+y=2
y=2
Plot (0,2) this is your y-intercept.
Let y=0 and solve for x:
-x+0=2
-x=2
-(-x)=-(2)
x=2
Plot (2,0) this is your x-intercept.
Connect your points and you have a second line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%2Cx%2B2%29
The lines intersect at (1,3), therefore your solution is (1,3)
Happy Calculating!!!