SOLUTION: How do you solve this problem? please show work. Solve by graphing y=2x+3 x+y=3

Question 63647: How do you solve this problem? please show work.
Solve by graphing y=2x+3
x+y=3
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Solve by graphing
E1: y=2x+3
E2: x+y=3
:
For E1:
(I'm graphing this line by plotting points.)
Let x=0 and solve for y:
y=2(0)+3
y=0+3
y=3 Plot (0,3)
Now let x=2 and solve for y (Pick any point within reason.)
y=2(2)+3
y=4+3
y=7 Plot (2,7)
Connect the points and you should have this line:

For E2:
(I'm graphing this line by the intercept method.)
Let x=0 and solve for y:
0+y=3
y=3 Plot (0,3)
Notice that both lines have the same y-intercept. This is the solution to the system. (We're not supposed to know that yet, and most of the time we won't, so let's keep graphing.)
Let y=0 and solve for x:
x+0=3
x=3 Plot (3,0)
Connect the points and you have a second line:

The lines intersect at the solution: (0,3)
Happy Calculating!!!!
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