Question

2x-y=5 find and ordered pair (x,y) that is a solution to the equation

Answer 1

A solution of the linear equation 2x - y = 5 is (1, -3).

Which ordered pair is a solution of the linear equation?

Here we have the linear equation:

2x - y = 5

To find an ordered pair that is a solution of the equation, we only need to evaluate it.

This means to replace the value of x or y by a real number, and then find the correspondent value of the other variable.

For example, if x = 1, we will get:

2*1 - y = 5

2 - y = 5

2 - 5 = y

-3 =y

Then if x = 1, the value of y must be -3, then the ordered pair can be (1, -3)

Answer 2

- Since the equation represents a straight line, it means that all values of x and y are included in the Domain and Range respectively.

- Thus, we can choose any value of x and find its corresponding value of y and that would be an ordered pair solution.

- Thus, we have that:

`\begin{gathered} 2x-y=5 \\ \text{ choose }x=0 \\ 2(0)-y=5 \\ y=-5 \end{gathered}`

Final Answer

The ordered pair is (0, -5)