SOLUTION: I need help quick. I need to see these two problems worked out in both the SUBSTITUTION and the ELIMINATION methods. 2x-3y=-1, 3x-4y=5 then 2x+3y=5, 9y=15-6x HELP

Algebra ->  Expressions-with-variables -> SOLUTION: I need help quick. I need to see these two problems worked out in both the SUBSTITUTION and the ELIMINATION methods. 2x-3y=-1, 3x-4y=5 then 2x+3y=5, 9y=15-6x HELP      Log On


   



Question 134761:
I need help quick. I need to see these two problems worked out in both the SUBSTITUTION and the ELIMINATION methods.
2x-3y=-1, 3x-4y=5 then 2x+3y=5, 9y=15-6x HELP

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=-1 multiply this equation by -3.
3x-4y=5 multiply this equation by 2 & add them that will eliminate the x term.
-6x+9y=3
6x-8y=10
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y=13 answer.
2x-3*13=-1
2x-39=-1
2x=-1+39
2x=38
x=38/2
x=19 answer.
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2x+3y=5
2x=5-3y
x=(5-3y)/2
9y=15-6(5-3y)/2
9y=15-(30-18y)/2
9y=(2*15-30+18y)/2
18y=30-30+18y
18y-18y=0
0=0 thus these 2 equations are the same.