Question 71704
Solve the equation by graphing:

3x-2y=6
3x+2y=6
:
For 3x-2y=6
Let x=0 and solve for y
3(0)-2y=6
0-2y=6
-2y=6
-2y/-2=6/-2
y=-3  Plot (0,-3)
Now let y=0 and solve for x:
3x-2(0)=6
3x=6
3x/3=6/3
x=2  Plot (2,3)
Connect the two points and you have a line:
{{{graph(300,200,-10,10,-10,10,(3/2)x-3)}}}
For 3x+2y=6
Let x=0 and solve for y:
3(0)+2y=6
0+2y=6
2y=6
2y/2=6/2
y=3  Plot (0,3)
Now let y=0 and solve for x
3x+2(0)=6
3x+0=6
3x=6
3x/3=6/3
x=2  Plot (2,0)
Connect the two points and you have a second line:
{{{graph(300,200,-10,10,-10,10,(3/2)x-3,(-3/2)x+3)}}}
The solution is where the two lines intersect (2,0)
Happy Calculating!!!!