Question

Find 5 solutions for the linear equation x+5y=21 and plot the solutions as points on a coordinate plane

Answer 1

(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of
`x + 5\cdot y = 21`. Please see the image attached below to know the plot on the coordinate plane.

Explanation:

Let
`x + 5\cdot y = 21`, we can determine five distinct points by transforming this function into its explicit form. That is:

`x = 21 - 5\cdot y`

Then, we evaluate the function at five distinct values of
`y`:

y = 0

`x = 21-5\cdot (0)`

`x = 21`

y = 1

`x = 21-5\cdot (1)`

`x = 16`

y = 2

`x = 21 - 5\cdot (2)`

`x = 11`

y = 3

`x = 21-5\cdot (3)`

`x = 6`

y = 4

`x = 21-5\cdot (4)`

`x = 1`

(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of
`x + 5\cdot y = 21`.