Multiple choice

Solve the following equations: $x^{3}y^{2}z = 12, x^{3}yz^{3} = 54, x^{7}y^{3}z^{2} = 72$.

  1. $x=1,y=1, z=3$
  2. $x=1,y=1, z=2$
  3. $x=1, y=2, z=3$
  4. $x=-1, y=2, z=4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Substitute the values from option C: x=1, y=2, z=3. x^3*y^2*z = 1^3 * 2^2 * 3 = 1 * 4 * 3 = 12 (Matches). x^3*y*z^3 = 1^3 * 2 * 3^3 = 1 * 2 * 27 = 54 (Matches). x^7*y^3*z^2 = 1^7 * 2^3 * 3^2 = 1 * 8 * 9 = 72 (Matches).