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

Answer:

$(-2,8)$    $(7,5)$      $(1,7)$

Step-by-step 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