Question

Find an ordered pair (x, y) that is a solution to the equation.4x+y=5

Answer 1

Given: The equation below

`4x+y=5`

To Determine: The ordered pair (x,y) for the given equation

To achieve this, we will find both the intercept on y-axis and x-axis.

Calculate the intercept on the x-axis: To get the intercept on the x-axis, make x = 0 in the equation, and find the corresponding value of y as shown below:

`\begin{gathered} 4x+y=5 \\ \text{Make x=0} \\ 4(0)+y=5 \\ 0+y=5 \\ y=5 \end{gathered}`

The coordinate of the intercept on the x-axis is (0,5)

Calculate the intercept on the y-axis: To get the intercept on the y-axis, make y = 0 in the equation, and find the corresponding value of y as shown below: