Question

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

Answer 1

3x - 4y - 8 = 12
+ 8 + 8
3x - 4y = 20
3x - 3x - 4y = -3x + 20
-4y = -3x + 20
-4 -4
y = ³/₄x - 5

The points that are solutions to the function are (0, -5), (4, -2), and (-16, -17).

Answer 2

Given equation is 3x-4y-8=12(add 8 on both sides)

3x-4y=20

We plug in each point in the equation and check which one satisfies our equation .

(0,-5) -------->3(0)-4(-5)=20 => 20 =20 . It is true

(4,-2)------->3(4)-4(-2)=20 => 20 =20 . It is true

(8,2) ------->3(8)-4(2)=20 => 16 =20 . It is false

(-16,-17) ------->3(-16)-4(-17)=20 => 20 =20 . It is true

(-1,-8) ------->3(-1)-4(8)=20 => -35 =20 . It is false

(-40,-34) ------->3(-40)-4(-34)=20 => 64 =20 . It is false

(0,-5) (4,-2) and (-16,-17) satisfies our equation.

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