Answer to Question #305272 in Linear Algebra for Nhlonipho Manganyi

Question #305272

If we have a linear equation what is the power of the variable(s) involved

1
Expert's answer
2022-03-03T17:33:31-0500

The linear equation is an equation that may be put in the form

a1x1+a2x2++anxn+c=0,a_1x_1+a_2x_2+\ldots+a_nx_n + c = 0, where a1,,an,ca_1,\ldots, a_n, c are constants.

So every variable x1,,xnx_1, \ldots, x_n should be in power less or equal to 1. Every involved in the equation variable should be in power 1.

For example, 2x+7y1.13z+6=02x + \sqrt7\cdot y - 1.13 z+ 6 = 0 is a linear equation, but 2x21=02x^2 - 1= 0 is not linear.


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