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HERE ARE TWO NUMBER MACHINES A AND B
BOTH MACHINES HAVE THE SAME INPUT X
WORK OUT THE INPUT THAT MAKES THE OUPUT OF A 3 TIMES THE OUTPUT OF B

A) input: X → times 5 → -4 output:
B) input: X → times 3 → +8 output:

Respuesta :

dasolanog

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

We can write them both like functions like this

[tex]A=5x-4[/tex]

[tex]B=3x+8[/tex]

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

[tex]A=3B[/tex]

we replace with the functions

[tex]5x-4=3(3x+8)[/tex]

we solve for x

[tex]5x-4=9x+24\\5x-9x=24+4\\-4x=28\\x=\frac{28}{-4}\\x=-7[/tex]

The output that makes the out put of A 3 times teh output of B is [tex]-7[/tex]

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