Posted by **michael R 43** on Thursday, July 3, 2014 at 10:31am.

5x - 9y = 7,

7y - 3x = -5

solve using any algebraic method

- algebra -
**Steve**, Thursday, July 3, 2014 at 10:35am
7y-3(9y+7)/5 = -5

y = -1/2

so, x = 1/2

- algebra -
**michael R 43**, Thursday, July 3, 2014 at 11:02am
Steve can you explain how you got the answer to this??

- algebra -
**Steve**, Thursday, July 3, 2014 at 11:39am
sure. the first equation

5x - 9y = 7

tells us that x = (9y+7)/5

Just plug that into the 2nd equation, and you get

7y-3(9y+7)/5 = -5

fractions are a nuisance, so multiply through by 5:

35y - 3(9y+7) = -25

35y - 27y - 21 = -25

8y = -4

y = -1/2

Now plug that value into either equation and solve for x.

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