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Date Posted:
3 years ago
y + x = (2y + 5)/x
Multiply both sides by x,
x(y + x) = 2y + 5
xy + x² = 2y + 5
x² = 2y + 5 - xy
x² - 5 = 2y - xy
x² - 5 = y(2 - x)
(x² - 5)/(2 - x) = y
y = (x² - 4)/(2 - x) - 1/(2 - x)
y = (x - 2)(x + 2)/(2 - x) - 1/(2 - x)
y = -(2 - x)(x + 2)/(2 - x) - 1/(2 - x)
y = -(x+2) - 1/(2 - x)
y = -x - 2 - 1/(2 - x)
Multiply both sides by x,
x(y + x) = 2y + 5
xy + x² = 2y + 5
x² = 2y + 5 - xy
x² - 5 = 2y - xy
x² - 5 = y(2 - x)
(x² - 5)/(2 - x) = y
y = (x² - 4)/(2 - x) - 1/(2 - x)
y = (x - 2)(x + 2)/(2 - x) - 1/(2 - x)
y = -(2 - x)(x + 2)/(2 - x) - 1/(2 - x)
y = -(x+2) - 1/(2 - x)
y = -x - 2 - 1/(2 - x)