Which 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)

Solution:

Given points:

(0 ,-5) (4, -2) (8, 2) (-16, -17) (-1, -8) (-40, -34) and the function 3x - 4y - 8 = 12

In order to be a solution for the function they must satisfy the equation.

Consider (0,-5): 3(0) - 4(-5) - 8 = 20 - 8 = 12 = RHS

Hence, (0, -5) is solution to the given equation

(4, -2): 3(4) - 4(-2) - 8 = 12 + 8 - 8 = 12 = RHS

(8, 2): 3(8) - 4(2) - 8 = 24 - 8 - 8 = 8 not RHS

(-16, -17): 3(-16)-4(-17) - 8 = 68 - 56 = 12 = RHS

(-1, -8): 3(-1) - 4(-8) - 8 = 32 - 11 = 21 not RHS

(-40, -34): 3(-40) - 4(-34) - 8 = -120 + 136 - 8 = 8 not RHS

Hence, only (0, -5), (4, -2), (-16, -17) are the solutions for the given equation.

Which of the following points are solutions to the equation 3x - 4y - 8 = 12? Select all that apply.

Summary:

The points of the following points are solutions to the equation 3x - 4y - 8 = 12 are (0, -5), (4, -2), (-16, -17) .