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What is a 1st degree equation with two variables?


Consider the equation: 2x - 6 = 5 - 3y.

It is an equation with two variables, x and y, which can be transformed into a simpler equivalent equation. Watch:

2x + 3y = 5 + 6

2x + 3y = 11 ==> Equation of the first degree in the form ax + by = ç.

We call it 1st degree equation with two variables, x and y, every equation that can be reproduced in the form ax + by = ç, being The and B non-zero numbers simultaneously.

In the equation ax + by = ç, we call it:

x and y - variables or unknown

The - coefficient of x

B - coefficient of y

ç - independent term

Examples:

x + y = 30

2x + 3y = 15

x - 4y = 10

-3x - 7y = -48

2x- 3y = 0

x - y = 8

Next: Solution of a Two-Variable First Degree Equation