Question

Here are 2 number machines, a and b. both machines have the same input, x. work out the input that makes the output of a three times the output of b.

Answer 1

Answer:

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Answer 2

Answer:

machine A:  5x - 4  =  5(-7) - 4  =  -35 - 4  =  -39

machine B:  3x + 8  =  3(-7) + 8  =  -21 + 8  =  -13

And:  -39 is three times -13.

Step-by-step explanation:

For machine A:  with an input of  x  its output will be 5x - 4

For machine B: with an input of  x  its output will be 3x + 8

If machine A's output is three times machine B's output:  5x - 4  =  3(3x + 8)

                                                                                          5x - 4  =  9x + 24

              subtract 5x from both sides:                                      -4  =  4x + 24

              subtract 24 from both sides:                                    -28  =  4x

              divide both sides by 4:                                               -7  =  x

 

Checking:  machine A:  5x - 4  =  5(-7) - 4  =  -35 - 4  =  -39

                 machine B:  3x + 8  =  3(-7) + 8  =  -21 + 8  =  -13

And:  -39 is three times -13.