SOLUTION: question: solve each of the following systems by graphing 3x-6y=9 x-2y=3

Question 55674: question: solve each of the following systems by graphing
3x-6y=9
x-2y=3
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
These equations are easier to graph if you put them into the slope-intercept form: y = mx+b
Add 6y to both sides.
Subtract 9 from both sides.
Finally, divide both sides by 6.
Simplify.

----------------------
Add 2y to both sides.
Subtract 3 from both sides.
Finally, divide both sides by 2.
or

The graphs are:

As you can see from the graph, the two lines intersect at the point (0, -2/3) so this is the solution.
But also notice that both equations, in their slope-intercept form, have the same y-intercept (that's the b in y = mx+b) which is (0, -2/3).
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