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3x+2y=165x+y=9how to solve this math problem

1 Answer

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Solve the equation system

3x+2y=16 (I)

5x+y=9 (II)

_______________________

By the substitution method

5x+y=9

y= 9 -5x

Replacing y in (I)

3x + 2(9-5x) = 16

3x + 18 - 10x = 16

(3-10) x= 16 -18

7x = 2

x= 2/7

______________

y= 9 -5x

y = 9 - 2* (2/7)

y= 9 - 4/7

y = (63-4) / 7

y = 59/ 7

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