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How can u solve this by system of equations by elimination 4x-5y=6;2x+5y=-28

1 Answer

5 votes

Answer:

x=17/3, y=10/3. (17/3, 10/3).

Explanation:

4x-5y=6

2x+5y=-28

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4x-5y=6

-2(2x+5y)=-2(-28)

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4x-5y=6

-4x-10y=56

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-15y=-50

15y=50

y=50/15

y=10/3

4x-5(10/3)=6

4x-50/3=6

4x=6+50/3

4x=18/3+50/3

4x=68/3

x=(68/3)/4

x=(68/3)(1/4)=68/12=17/3

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