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

Algebra ->  Linear-equations -> SOLUTION: What is linear equation in 2 variables? Is 2x – 3/y = 7 a linear equation in 2 variables? Why, and why not?       Log On


   



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) About Me  (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.)