Q:

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

Accepted Solution

A:
The points (0 , -5) , (4 , -2) and (-16 , -17) are the solutions to the equation 3x - 4y - 8 = 12Step-by-step explanation:Which of the following points are solutions to the equation3x - 4y - 8 = 12The points are:(0 , -5) (4 , -2) (8 , 2) (-16 , -17) (-1 , -8) (-40 , -34)To do that:1. Substitute the x and y in the equation by the coordinates of each    point2. Find the answer of the left hand side of the equation3. If the answer of the left hand side equal the right hand side, then the    point is a solution of the equationPoint (0 , -5)∵ Left hand side = 3x - 4y - 8∵ x = 0 and y = -5∴ Left hand side = 3(0) - 4(-5) - 8∴ Left hand side = 0 + 20 - 8∴ Left hand side = 12∵ Right hand side = 12∴ Left hand side = right hand side∴ Point (0 , -5) is a solution of the equationPoint (4 , -2)∵ Left hand side = 3x - 4y - 8∵ x = 4 and y = -2∴ Left hand side = 3(4) - 4(-2) - 8∴ Left hand side = 12 + 8 - 8∴ Left hand side = 12∵ Right hand side = 12∴ Left hand side = right hand side∴ Point (4 , -2) is a solution of the equationPoint (8 , 2)∵ Left hand side = 3x - 4y - 8∵ x = 8 and y = 2∴ Left hand side = 3(8) - 4(2) - 8∴ Left hand side = 24 - 8 - 8∴ Left hand side = 8∵ Right hand side = 12∴ Left hand side ≠ right hand side∴ Point (8 , 2) is not a solution of the equationPoint (-16 , -17)∵ Left hand side = 3x - 4y - 8∵ x = -16 and y = -17∴ Left hand side = 3(-16) - 4(-17) - 8∴ Left hand side = -48 + 68 - 8∴ Left hand side = 12∵ Right hand side = 12∴ Left hand side = right hand side∴ Point (-16 , -17) is a solution of the equationPoint (-1 , -8)∵ Left hand side = 3x - 4y - 8∵ x = -1 and y = -8∴ Left hand side = 3(-1) - 4(-8) - 8∴ Left hand side = -3 + 32 - 8∴ Left hand side = 21∵ Right hand side = 12∴ Left hand side ≠ right hand side∴ Point (-1 , -8) is not a solution of the equationPoint (-40 , -34)∵ Left hand side = 3x - 4y - 8∵ x = -40 and y = -34∴ Left hand side = 3(40) - 4(-34) - 8∴ Left hand side = -120 + 136 - 8∴ Left hand side = 8∵ Right hand side = 12∴ Left hand side ≠ right hand side∴ Point (-40 , -34) is not a solution of the equationThe points (0 , -5) , (4 , -2) and (-16 , -17) are the solutions to the equation 3x - 4y - 8 = 12Learn more:You can learn more about the solution of a linear equation in brainly.com/question/4326955#LearnwithBrainly