Question

WHAT EVEN IS THIS???

Answer 1

Explanation:

output A
`=5x-4`

output B
`=3x+8`

Find the input
`x` so that the output of A to be 3 times output of B:

3 x output of A = output of B gives

`3(3x+8)=5x-4`

`9x+24=5x-4`

`4x+24=-4`

`4x=-28`

`x=-7`

Check solution when x= -7:

output A = -39

output B = -13

So output of A is 3 times output of B when the input is
`x=-7`.

Answer 2

x = - 7

Explanation:

obtain the outputs for both machines

A

x × 5 = 5x

5x - 4 = 5x - 4 ← output A

B

x × 3 = 3x

3x + 8 = 3x + 8 ← output B

we require A to be three times B , that is

5x - 4 = 3(3x + 8) ← distribute parenthesis

5x - 4 = 9x + 24 ( subtract 9x from both sides )

- 4x - 4 = 24 ( add 4 to both sides )

- 4x = 28 ( divide both sides by - 4 )

x = - 7