system of non-linear equations

02 - Solution to Equations Involving Variable Exponent

Solve for the value of x from each of the following equations:

  1. 9x - 6(9-x) - 1 = 0
  2. 2x + 1 · 3x = 5x + 3

 

Example 07 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for $x$ and $y$ from the given system of equations.
$\dfrac{3}{x^2} - \dfrac{4}{y^2} = 2$   ←   Equation (1)

$\dfrac{5}{x^2} - \dfrac{3}{y^2} = \dfrac{17}{4}$   ←   Equation (2)
 

Example 06 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for $x$ and $y$ from the given system of equations.
$x^2y + y = 17$   ←   Equation (1)

$x^4y^2 + y^2 = 257$   ←   Equation (2)
 

Example 05 - Simultaneous Non-Linear Equations of Two Unknowns

Problem
Solve for x and y from the given system of equations.
$x + 2y = 6$   ←   Equation (1)

$\sqrt{x} + \sqrt{y} = 3$   ←   Equation (2)
 

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