Equation in two variables

Definition

An equation in two variables is a mathematical statement that relates two different quantities, typically represented as $x$ and $y$. These equations can be graphed on a coordinate plane showing the relationship between the variables.

5 Must Know Facts For Your Next Test

1. The solution to an equation in two variables is an ordered pair $(x, y)$ that satisfies the equation.
2. Graphing an equation in two variables results in a curve or line on the coordinate plane.
3. Linear equations in two variables form straight lines, while non-linear equations can form curves such as parabolas or circles.
4. The standard form of a linear equation in two variables is $Ax + By = C$, where $A$, $B$, and $C$ are constants.
5. Systems of equations involve multiple equations with the same set of variables and can be solved using methods such as substitution, elimination, or graphing.

Review Questions

Related terms

Linear Equation:

An equation that forms a straight line when graphed and can be written as $Ax + By = C$.

Ordered Pair:

A pair of numbers $(x, y)$ used to locate a point on the coordinate plane.

Coordinate Plane:

A two-dimensional surface formed by two perpendicular number lines called axes.