Question

Which of the fallowing points are the solution to the equation 3x-4y-8=12. Chose all that apply (0,-5) (4,-2) (8,2) (-16,-17) (-1,-8) (-40,-34)

Answer 1

The solutions for the equation are:

(4,-2) and (-16,-17)

Explanation:

Given equation:

`3x-4y-8=12`

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)

`3(0)-4(5)-8=12`

`0-20-8=12`

`-28=12`

which is not true. Hence, not a solution.

(4,-2)

`3(4)-4(-2)-8=12`

`12+8-8=12`

`12=12`

which is true. Hence, it is a solution.

(8,2)

`3(8)-4(2)-8=12`

`24-8-8=12`

`24-16=12`

`8=12`

which is not true. Hence, not a solution.

(-16,-17)

`3(-16)-4(-17)-8=12`

`-48+68-8=12`

`20-8=12`

`12=12`

which is true. Hence, it is a solution.

(-1,-8)

`3(-1)-4(-8)-8=12`

`-3+32-8=12`

`21=12`

which is not true. Hence, not a solution.

(-40,-34)

`3(-40)-4(-34)-8=12`

`-120+136-8=12`

`8=12`

which is not true. Hence, not a solution.