Respuesta :
Question:
Which points of the following points are solutions to the equation 3x-4y-8=12? Select all that apply. (0,-5) (4,-2) (8,2) (-16-17) (-1,-8) (-40,-34)
Answer:
(0, -5), (4, -2), (-16, -17) are the solutions to given equation 3x - 4y - 8 = 12
Solution:
Given equation is:
3x - 4y - 8 = 12
3x - 4y = 12 + 8
3x - 4y = 20
We have to find the points that are solutions to given equation
Let us check the options one by one
Option A
Substitute (x, y) = (0, -5) in given equation
3(0) - 4(-5) = 20
0 + 20 = 20
20 = 20
Thus, (0, -5) is a solution to given equation
Option B
Substitute (x, y) = (4, -2) in given equation
3(4) - 4(-2) = 20
12 + 8 = 20
20 = 20
Thus, (4, -2) is a solution to given equation
Option C
Substitute (x, y) = (8, 2) in given equation
3(8) -4(2) = 20
24 - 8 = 20
[tex]16\neq 20[/tex]
Thus, (8, 2) is not a solution to given equation
Option D
Substitute (x, y) = (-16, -17) in given equation
3(-16) - 4(-17) = 20
-48 + 68 = 20
20 = 20
Thus, (-16, -17) is a solution to given equation
Option E
Substitute (x, y) = (-1, -8) in given equation
3(-1) -4(-8) = 20
-3 + 32 = 20
[tex]29\neq 20[/tex]
Thus, (-1, -8) is not a solution to given equation
Option F
Substitute (x, y) = (-40, -34) in given equation
3(-40) - 4(-34) = 20
-120 + 136 = 20
[tex]16\neq 20[/tex]
Thus, (-40, -34) is not a solution to given equation
