SOLUTION: Please help me solve this equation 6x+3y=33 2x+9y=3

Question 680952: Please help me solve this equation 6x+3y=33
2x+9y=3
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
6x + 3y = 33
2x + 9y = 3
...
Multiply the first equation by -3, then add the two equations
-3(6x+3y=33) to get -18x - 9y = -99
Adding
-18x + 2x - 9y + 9y = -99 + 3
-16x = -96

...
Plug x into either equation and solve for y
6(6) + 3y = 33
36 + 3y = 33
3y = 33 - 36
3y = -3

...
OR you could multiply the second equation by -3 and add the two equations to solve for y
6x+3y=33
-3(2x+9y=3) to get -6x - 27y = -9
6x + -6x + 3y + -27y = 33 + -9
-24y = 24
y = -1
...
Solution is (6,-1)
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