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X + 5y = 20
2x - 7y = -45

solving with elimination

show work pls​

1 Answer

1 vote

Answer: (-5, 5)

Explanation:

x + 5y = 20...(1)

2x - 7y = -45...(2)

Multiply equation 1 by -2 and add the equations

-2x - 10y = -40

+ 2x - 7y = -45

--------------------

- 17y =-85

-17y/-17 = -85/-17

y=5

Substitute y=5 into equation 1

x + 5y = 20

x + 5(5) = 20

x = 25-20

x=-5

Therefore the solutionto the system is (-5, 5)

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