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Home > Algebra calculators > Variation equations calculator - If x proportion y and x=4,y=2 then find y when x=18
Method and examples
Consonant, Direct, Inverse and Joint Variation equation
For proportional '`prop`' sign, we use '@' sign for input.
1. Find value of variation
Variation
Given
Find

  1. `x prop y` and x=4 when y=2. find y when x=18
  2. `x prop 1/y^3` and x=16 when y=1/2. find y when x=54
  3. `x prop y^3/z` and x=8 when y=4,z=3. find x when y=6,z=4
  4. `x prop yz` and x=8 when y=4,z=3. find x when y=6,z=4
  5. `x prop y^3z` and x=8 when y=4,z=3. find x when y=6,z=4
2. Prove results for given variation
Variation
Prove that
Constant

  1. If `x prop y` then prove that `x^3+y^3 prop x^2y-xy^2`
  2. If `x prop y` then prove that `x^2+y^2+xy prop x^2-y^2`
  3. If `x prop y, y prop z` then prove that `x^3+y^3+z^3 prop xyz`
  4. If `y prop z, x prop y` then prove that `x^3+y^3+z^3 prop xyz`
  5. If `5x-7y prop 6x+3y` then prove that `x prop y`
  6. If `5x+2y prop 3x-7y` then prove that `x prop y`
  7. If `9x-3y prop 4x+5y` then prove that `x prop y`
  8. If `2x^2-3y^2 prop 4x^2+5y^2` then prove that `x prop y`
  9. If `4x^3+5y^3 prop 2x^3-9y^3` then prove that `x prop y`
  10. If `x^2+9y^2 prop xy` then prove that `x prop y`
  11. If `4x^2+9y^2 prop xy` then prove that `x^2+y^2 prop xy`


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