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Homework answers / question archive / Indicate whether each system is independent, inconsistent or independent x-5y= 4 4x + 8y = -5

Indicate whether each system is independent, inconsistent or independent x-5y= 4 4x + 8y = -5

Math

Indicate whether each system is independent, inconsistent or independent
x-5y= 4
4x + 8y = -5

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x-5y = 4
So, x = 5y+4 ---(1)
Substitute eq. (1) in 4x+8y = -5
4(5y+4) + 8y = -5
28y = -16-5 = -21
y = -0.75
x = 0.25

This is an independent system since there is one and only one solution.