SOLUTION: Solve the system by the elimination method 5x+2y=-7 7x-3y=13 What is the solution of the system? (___,____) (Type the order pair. Use integers or fractions for any number

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Question 330444: Solve the system by the elimination method
5x+2y=-7
7x-3y=13
What is the solution of the system?
(___,____) (Type the order pair. Use integers or fractions for any numbers in the expression)

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
5x+2y=-7 ................1
7x-3y=13 ................2
..
multiply equation 1 by 3 and equation 2 by 2 and add them
15x+6y+14x-6y=-21+26
29x=5
divide by 29
x=5/29
plug the value of x in equation 1
5*5/29 +2y=-7
25/29 +2y=-7
Add -25/29
2y=-7-25/29
2y=(-213-25)/29
2y=-228/29
y= -228/29*2
y= -114/29

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