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5x - 2y = 4 [1]

x + 5y = 0 [2]

Substituting x into 1st equasion, by re-arranging 2nd:

x + 5y = 0

x = -5y

5(-5y) - 2y = 4

-25y - 2y = 4

-27y = 4

y = -4/27

x = -5y

x = -5(-4/27)

x = 139/27

note: in most cases you will need to simplify the fraction. not in this case, this is an unlikely sum, usually given by an out of school tutor or there is an error with your reading of the question, usually the answers are better fractions.

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Q: How do you solve the system of equation using substitution problem for 5x-2y equals 4 and x plus 5y equals 0?
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