Given the simultaneous equations x 2y = 1 3xy y 2 = 8 a. Show

Question:

Given the simultaneous equations

x − 2y = 1

3xy − y2 = 8

a. Show that 5y2 + 3y − 8 = 0.

b. Hence find the pairs (x, y) for which the simultaneous equations are satisfied.

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