Question

Witch of the following points are solutions to the equation 3x-4y-8=12

Answer 1

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

$16\neq 20$

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

$29\neq 20$

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

$16\neq 20$

Thus, (-40, -34) is not a solution to given equation