Homework Help: Math

Posted by B.B. on Sunday, April 11, 2010 at 3:16pm.

Could someone please help me with this. I am confused. Math is a weak point for me.
Solve the system of equations by graphing. Then classify the system. 9x-6y=30, 6x-9y= -30. The solution is? Consistent or inconsistent, dependent or independent?
How would I graph this?
Thanks.

Math - Damon, Sunday, April 11, 2010 at 3:26pm
9x-6y=30, 6x-9y= -30
divide everything by 3

3x - 2y = +10 multiply by 3
2x - 3y = -10 multiply by 2

9x - 6y = +30
4x - 6y = -20 now subtract
-----------------
5 x = 50
x = 10

20 - 3y = -10
3 y = 30
y = 10

straight lines
intersection at (10,10)
slope of first = 9/6 = 1.5
slope of second = 2/3 = .6667
first hits y axis at -5 and x axis at 10/3
second hits y axis at 10/3 and x axis at -5

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