The points (0 , -5) , (4 , -2) and (-16 , -17) are the solutions to the
equation 3x - 4y - 8 = 12
Step-by-step explanation:
Which of the following points are solutions to the equation
3x - 4y - 8 = 12
The 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
point
2. Find the answer of the left hand side of the equation
3. If the answer of the left hand side equal the right hand side, then the
point is a solution of the equation
Point (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 equation
Point (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 equation
Point (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 equation
Point (-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 equation
Point (-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 equation
Point (-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 equation
The points (0 , -5) , (4 , -2) and (-16 , -17) are the solutions to the
equation 3x - 4y - 8 = 12
Learn more:
You can learn more about the solution of a linear equation in brainly.com/question/4326955
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