Solve the system of equations by graphing.
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Solve the system of equations by graphing.

[From: ] [author: ] [Date: 11-06-27] [Hit: ]
So when graphing start at (0,Down one unit, to the right three units.Oh to get the ordered pair solution (where they intersect) you just set the two equations equal to each other.Then just plug that back into either equation and youll get y.(3,......
x – 3y = -3
x + 3y = 9

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x – 3y = -3
-3y = -x -3
y = 1/3x + 1

Y intercept = 1
So when graphing start at (0, 1)
Slope = 1/3
Rise over run so go up one unit, three units to the right.
Repeat to graph.


x + 3y = 9
3y = -x + 9
y = -1/3x + 3

Y intercept = 3
So when graphing start at (0, 3)
Slope = -1/3
Down one unit, to the right three units.



Oh to get the ordered pair solution (where they intersect) you just set the two equations equal to each other.

1/3x + 1 = -1/3x + 3
2/3x + 1 = 3
2/3x = 2
2x = 6
x = 3


Then just plug that back into either equation and you'll get y.
3 + 3y = 9
3y = 6
y = 2

(3, 2)

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Download Graph 4.4 from www.padowan.dk for free.

On "Function I Insert relation", type x - 3*y = - 3, then "OK".

On "Function I Insert relation", type x + 3*y = 9,, choose another color, then "OK".

You'll see the lines intersect at (3, 2)

Therefore, the answer is x = 3, y = 2.
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