PLEASE ANSWER THiS MATH QUESTION

A

Step-by-step explanation:

Plug in the values of each of the coordinate pairs into the linear system.

2x - 8y = 0, -3x - 8y = 20

A)

2*-4 - 8*-1 = 0

- 8 - (-8) = 0 -> CORRECT!

-3x - 8y = 20

-3*-4 - 8*-1 = 20

12 - (-8) = 20 -> CORRECT!

You don't need to try any other pairs, you already know that this is the solution to the problem! Remember, in the future, just plug all the coordinate pairs into the equation. Whichever one makes the equation true is the correct solution! Hope this helps!

D: (4,1)

Step-by-step explanation:

2x-8y=0

-3x-8y=20

now lets multiply the lower equation by something so the y variable cancells out

2x-8y=0

-1(-3x-8y)=-1(20)

2x-8y=0

3x+8y=-20

now, solve for x:

2x-8y=0

3x+8y=-20

5x=20

x=20/5

x=4

now lets plug in 4 for x in the equation to find y:

2x-8y=0

2*4-8y=0

8-8y=0

-8y=-8

y=-8/-8

y=1

Thus, the solution to this linear system of equations is (4,1), which is D

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.