SOLUTION: Can someone please help me with this problem 5x+5y=-7 7x-3y=19 It says to solve the system by elimination and that the solution is an ordered pair, then it says to use fractions

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Question 246076: Can someone please help me with this problem
5x+5y=-7
7x-3y=19
It says to solve the system by elimination and that the solution is an ordered pair, then it says to use fractions or integers for any numbers in the expression. Can anyone help me I do not understand? Thank you, all help is appreciated.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
5x+5y=-7
7x-3y=19
------------
To solve by elimination, you make the coefficients of either x or y match in the 2 eqns.
Multiply eqn 1 by 3 and eqn 2 by 5 to get 15y in both. The signs don't matter.
15x + 15y = -21 Eqn 1 x 3
35x - 15y = 95 Eqn 2 x 5
-------------- Add
50x = 74
x = 37/25
---------
Then sub for x in either eqn to find y
5*(37/25) + 5y = -7
5y = -7 - 37/5 = -72/5
y = -72/25
-----------
--> (37/25,-72/25)

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