x - y = 5. x × y = 24 , then find the value of x and y
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x - y = 5
x = 5 + y. -(1)
x * y = 24
(5 + y)y = 24
y^2 + 5y = 24
y^2 + 5y - 24 = 0
(y^2 + 8y) - (3y - 24) = 0
y(y + 8) - 3(y + 8) = 0
(y + 8) (y - 3) = 0
y - 3 = 0
y = 3
x = 5 + y
x = 5 + 3
x = 8
x = 5 + y. -(1)
x * y = 24
(5 + y)y = 24
y^2 + 5y = 24
y^2 + 5y - 24 = 0
(y^2 + 8y) - (3y - 24) = 0
y(y + 8) - 3(y + 8) = 0
(y + 8) (y - 3) = 0
y - 3 = 0
y = 3
x = 5 + y
x = 5 + 3
x = 8
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