Solve Command

This command works in CAS View only.

Solve[ <Equation> ]

Solves a given equation for the variable x and returns a list of all solutions.

Example:

Solve[x^2 = 4x] gives {x = 4, x = 0}, the solutions of x² = 4x.

Solve[ <Equation>, <Variable> ]

Solves an equation for a given unknown variable and returns a list of all solutions.

Example:

Solve[{x = 4 x + y , y + x = 2}, {x, y}] yields (x = -1 y = 3), the sole solution of x = 4x + y and y + x = 2.

Example:

Solve[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}] yields {{a = 0, b = 3}, {a = -3, b = 6}}.

Solve[ <List of Equations>, <List of Variables> ]

Solves a set of equations for a given set of unknown variables and returns a list of all solutions.

Example:

Solve[{x = 4 x + y , y + x = 2}, {x, y}] yields (x = -1 y = 3), the sole solution of x = 4x + y and y + x = 2.

Example:

Solve[{2a^2+5a+3=b, a+b=3},{a,b}] yields {{a = 0, b = 3}, {a = -3, b = 6}}.

Note: See also Solutions Command.