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1. Determine which of the following are linear equations and which are not linear equations. State the reason for your answer.

(a) x + y = 1000

(b) 3xy + 2y + 15z - 20 = 0

(c) 2xy + 4yz = 8

(d) 2x + 3y 4z = 6.

https://brainmass.com/math/basic-algebra/evaluating-linear-equations-linear-equations-372531

## SOLUTION This solution is FREE courtesy of BrainMass!

An equation is called linear if it is of the form:

ax+by=c

where a, b and c are constants.

So, (a) is a linear equation, while (b), (c) are NOT.

Note: For (d): 2x + 3y Ã¢?" 4z = 6, as I am not sure what Ã¢?" stands for, it looks like some symbol, so if it is NOT "-" or "+", then it must be a nonlinear equation.

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