Answer:
x = [tex]\frac{1+y^{2} }{y^{2}-2 }[/tex]
Step-by-step explanation:
Square both sides.
y² = (2x + 1) / (x - 1)
Multiply both sides by (x - 1).
y²(x - 1) = 2x + 1
xy² - y² = 2x + 1
xy² = 2x + 1 + y²
xy² - 2x = 1 + y²
x(y² - 2) = 1 + y²
x = [tex]\frac{1+y^{2} }{y^{2}-2 }[/tex]
