SOLUTION: What is linear equation in 2 variables? Is 2x � 3/y = 7 a linear equation in 2 variables? Why, and why not?

Question 623143: What is linear equation in 2 variables?
Is 2x � 3/y = 7 a linear equation in 2 variables?
Why, and why not?

Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
A linear equation has many forms. One is y = mx + b. That is not a linear equation because y is in the denominator.

-3/y = 7 -2x

3/y = 2x - 7
y = 3/(2x-7)

When x is 3.5, y is undefined because the denominator is 0. If you plot it, it's not a line.

A simple rule of thumb is a linear equation cannot have x or y in a denominator.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)

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