variable

What is an ordered pair?

An ordered pair is a pair of numbers (x, y) where 'x' represents the x-coordinate (horizontal position) and 'y' represents the y-coordinate (vertical position) on a Cartesian plane.

What is a linear equation in one variable?

A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.

What is a linear equation in two variables?

A linear equation in two variables is an equation that can be expressed in the form ax + by = c, where a, b, and c are constants and x and y are the variables.

Example 1: Solve for the ordered pair using the equation x + y = 3.

To find the missing y-value for x: (4, ) = (4, -1) because 4 + (-1) = 3. To find the missing x-value for y: (, 4) = (-1, 4) because -1 + 4 = 3. For y = -3: (, -3) = (6, -3) because 6 + (-3) = 3. To find the missing y for x: (11, ) = (11, -8) because 11 + (-8) = 3.

Example 2: Solve for the ordered pair using the equation x - y = 18.

To find the missing y for x: (, -3) = (15, -3) because 15 - (-3) = 18. For x = -4: (-4, ) = (-4, 22) because -4 - 22 = 18. For y = -2: (, -2) = (16, -2) because 16 - (-2) = 18. To find the missing y for x: (-1, ) = (-1, -19) because -1 - (-19) = 18.