## Simultaneous equations

All Sources

**-**## 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.

#### More From encyclopedia.com

George Boole
,
Boole, George
Boole, George
(b. Lioncoln, England, 1815; d. Cork, Ireland, 1864)
mathematics.
George Boole was the son of John Boole, a cobbler whose…
Domain
,
Domain
The domain of a relation is the set that contains all the first elements, x, from the ordered pairs (x,y) that make up the relation. In mathem…
Intervening Variable
,
intervening variable A variable, used in the process of explaining an observed relationship between an independent and dependent variable(s), such th…
Diophantus Of Alexandria
,
Diophantus of Alexandria
Diophantus of Alexandria
(fl. ad. 250)
mathematics.
We know virtually nothing about the life of Diophantus. The dating of hi…
Garrett Birkhoff
,
Birkhoff was the son of mathematician George David Birkhoff and Margaret Grafius Birkhoff. George Birkhoff, the father, was the first American mathem…
Coefficient
,
coefficient •abeyant, mayn't •ambient, circumambient •gradient, irradiant, radiant •expedient, ingredient, mediant, obedient •valiant • salient • res…

#### You Might Also Like

#### NEARBY TERMS

**Simultaneous equations**