# simultaneous equations

**simultaneous equations** Two or more equations that can be manipulated to give common solutions. In the simultaneous equations *x*+10*y* = 25 and *x*+*y* = 7, the problem is to find values of *x* and *y*, such that those values are solutions of both the equations simultaneously. This can be done by subtracting the two equations to give a single equation in *y*, which can then be solved. Substituting the value of *y* in either equation gives the value of *x*.

# simultaneous equations

**simultaneous equations** A set of equations that together define an unknown set of values or functions. The term is normally applied to linear algebraic equations.

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# Simultaneous equations

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