Question

warm-up
here are two new number machines.
try to find a number to put into both machines to get the same outputs.

input	top machine output	bottom machine output

try it

Explanation:

Step1: Simplify top machine expression

Combine like terms: $s + 2s + 10 = 3s + 10$

Step2: Simplify bottom machine expression

Apply distributive property: $3(s + 4) = 3s + 12$

Step3: Set outputs equal, solve for $s$

Set $3s + 10 = 3s + 12$
Subtract $3s$ from both sides: $10 = 12$

Answer:

There is no such number that will produce the same output for both machines, as the simplified equations result in a false statement ($10=12$), meaning there is no solution for $s$.