Question

Find an ordered pair (x,y) that is a solution to the equation x-2y=2

Answer 1

An ordered pair is
`(4,1)`

Explanation:

Rearranging the equation to isolate the y term and then make y the subject of the formula:

`x - 2y - 2 = 0`

`2y = x - 2`

The coefficient of y has to be '+1':

`(2)/(2)y = (1)/(2)(x - 2)`

`y = (1)/(2)x -(2)/(2)`

`y = (1)/(2)x -1`

This is the slope-intercept form of the equation.

Substitute any value of x in the above equation to determine the corresponding value of y. Together the x and y form an ordered pair.

For example:

For x = 4:

`y = (1)/(2)`(4)
`-1`

`= (4)/(2) - 1`

`= 2 - 1`

y = 1

∴ An ordered pair =
`(4, 1)`