Solve the simultaneous equation..

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X-2y = 1 > equation (1)

y²-3xy + 8 = 0 > equation (2)

so equation (1) is x = 1 + 2y

now we will put equation (1) in equation (2)

y² - 3xy + 8 = 0

y² - 3 (1+2y) y + 8 = 0

y² - 3y - 6y² + 8 = 0

-5y² - 3y + 8 = 0

5y² + 3y - 8 = 0

(5y+8) (y-1) = 0

5y + 8 = 0
5y = -8
y = -⁸/₅

y-1 = 0

y = 1

so y = -⁸/₅ and y = 1

for y₁
x = 1 + 2y

x = 1 + 2(-⁸/₅)

x = 1 - ¹⁶/₅

x = -¹¹/₅

for y = 1

x = 1 + 2y

x = 1 + 2(1)

x = 1 + 2

x = 3

so (x₁,y₁) = (-¹¹/₅ , -⁸/₅)

and (x₂,y₂) = (3 , 1)

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