Question

Which points of the following points are solutions to the equation 3x-4y-8=12

Answer 1

(0, -5), (4, -2), (-16, -17)

Explanation:

I attach your full question in the image below

The equation is

3x-4y-8=12

Which can be rewritten as

3x-4y =12 +8

3x-20 = 4y

y = (3/4)*x - 5

We need to check each individual case

(0,-5)

y = (3/4)*(0) - 5

y = -5

True

(4,-2)

y = (3/4)*(4) - 5

y = -2

True

(8,2)

y = (3/4)*(8) - 5

y = 1

False

(-16,-17)

y = (3/4)*(-16) - 5

y = -17

True

(-1,-8)

y = (3/4)*(-1) - 5

y = -23/4

False

(-40,-34)

y = (3/4)*(-40) - 5

y = -35

False

(0,-5) (4,-2) and (-16,-17) are the solutions