Respuesta :
Answer:
The solutions for the equation are:
(4,-2) and (-16,-17)
Step-by-step explanation:
Given equation:
[tex]3x-4y-8=12[/tex]
Given points:
(0,-5), (4,-2), (8,2), (-16,-17), (-1,-8), (-40,-34)
We will check each point by plugging it in the given equation and see if it satisfies the equation or not.
(0,5)
[tex]3(0)-4(5)-8=12[/tex]
[tex]0-20-8=12[/tex]
[tex]-28=12[/tex]
which is not true. Hence, not a solution.
(4,-2)
[tex]3(4)-4(-2)-8=12[/tex]
[tex]12+8-8=12[/tex]
[tex]12=12[/tex]
which is true. Hence, it is a solution.
(8,2)
[tex]3(8)-4(2)-8=12[/tex]
[tex]24-8-8=12[/tex]
[tex]24-16=12[/tex]
[tex]8=12[/tex]
which is not true. Hence, not a solution.
(-16,-17)
[tex]3(-16)-4(-17)-8=12[/tex]
[tex]-48+68-8=12[/tex]
[tex]20-8=12[/tex]
[tex]12=12[/tex]
which is true. Hence, it is a solution.
(-1,-8)
[tex]3(-1)-4(-8)-8=12[/tex]
[tex]-3+32-8=12[/tex]
[tex]21=12[/tex]
which is not true. Hence, not a solution.
(-40,-34)
[tex]3(-40)-4(-34)-8=12[/tex]
[tex]-120+136-8=12[/tex]
[tex]8=12[/tex]
which is not true. Hence, not a solution.
