Question 56880
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(300,200,-10,10,-10,10,-x+4)}}}
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(300,200,-10,10,-10,10,-x+4,x+2)}}}
The lines intersect at (1,3), therefore your solution is (1,3)
Happy Calculating!!!