what is the difference between algebraic equations and linear equations????
Algebraic equations : The equations combination of a constant term ( any number ) and a variable ( alphabets ) .
And we can have algebric equations As :
x + y = 5
x2 - 2x + 5 = 0
5xy + 3x2
So basically any type of equation can be called as algebraic equation .
Linear equation : We can say linear equation is a type of algebraic equation , And we can say all linear equations are algebraic equations , But not all algebraic equations are linear equations .
" A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. "
x + y = 3 is a linear equation
x2 - 2x + 5 = 0 is not a linear equation
Inmathematics, analgebraic equationorpolynomial equationis anequationof the form
P = Q
wherePandQarepolynomialswith coefficients in somefield, often the field of therational numbers. For most authors, an algebraic equation isunivariate, which means that it involves only onevariable.
Alinear equationis analgebraic equationin which eachtermis either aconstantor the product of a constant and (the first power of) a singlevariable.
In the general (or standard) form the linear equation is written as:
Ax + By = C
whereAandBare not both equal to zero. The equation is usually written so thatA≥ 0