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Homework answers / question archive / Indicate whether each system is independent, inconsistent, or dependent x+3 (y-1) = 11 2 (x-y) + 8y =28

Indicate whether each system is independent, inconsistent, or dependent x+3 (y-1) = 11 2 (x-y) + 8y =28

Math

Indicate whether each system is independent, inconsistent, or dependent
x+3 (y-1) = 11
2 (x-y) + 8y =28

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x+3 (y-1) = 11 ..................(1)
2 (x-y) + 8y =28 ..................(2)

Solution. Simplifying (1), we get

x+3y=14 .................(3)

We multiply by 0.5 on both sides of (2), we get

x+3y=14 ..............(4)

(3) and (4) are the same, so we conclude that the system is dependent