Multiple choice

Solve the following equations: $x + \dfrac {4}{y} = 1$, $y + \dfrac {4}{x} = 25$. Then $(x,y)=$

  1. $\left (\dfrac  {1}{3},6\right)$
  2. $\left (\dfrac {1}{5},5\right)$
  3. $\left (\dfrac {1}{4}, 10\right)$
  4. $\left (\dfrac {4}{5},20\right)$
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Substitute option values into the equations to check which one satisfies both. For the pair x = 4/5 and y = 20, the first equation x + 4/y equals 4/5 + 4/20, which is 4/5 + 1/5 = 1. The second equation y + 4/x equals 20 + 4/(4/5), which is 20 + 5 = 25. Both equations are satisfied by these values, so the solution is x = 4/5 and y = 20.

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