Question

(PLSSSS HELP) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.

Answer 1

`(-2,8)`
`(7,5)`
`(1,7)`

Explanation:

Given

`x + 3y = 22`

Solving (a): The possible coordinates

We have:

`(x,y) = (-2,8)`

This gives:

`x + 3y = 22 \to -2 + 3 * 8`

`x + 3y = 22 \to -2 + 24`

`x + 3y = 22 \to 22`

(-2,8) is a point on the grid

`(x,y) = (7,5)`

This gives:

`x + 3y = 22 \to 7 + 3 * 5`

`x + 3y = 22 \to 7 + 15`

`x + 3y = 22 \to 22`

(7,5) is a point on the grid

`(x,y) = (-5,5)`

This gives:

`x + 3y = 22 \to -5 + 3 * 5`

`x + 3y = 22 \to -5 + 15`

`x + 3y = 22 \to 10`

(-5,5) is a not point on the grid

`(x,y) = (1,3)`

This gives:

`x + 3y = 22 \to 1 + 3 * 3`

`x + 3y = 22 \to 1 + 9`

`x + 3y = 22 \to 10`

(1,3) is a not point on the grid

`(x,y) = (1,7)`

This gives:

`x + 3y = 22 \to 1 + 3 * 7`

`x + 3y = 22 \to 1 + 21`

`x + 3y = 22 \to 22`

(1,7) is a point on the grid

So, we plot the following on the grid

`(-2,8)`
`(7,5)`
`(1,7)`

See attachment