Answer:
x=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12=x+3
Step 2: Flip the equation.
x+3=12
Step 3: Subtract 3 from both sides.
x+3−3=12−3
Answer:
q+4 + d-3 + n ; first
Step-by-step explanation:
first :q quarter d dimes n nickels
then: q+4 quarter d dimes n nickels
then: q+4 quarter d-3 dimes n nickels
so you have q+4 + d-3 + n
first is the only option that has division the other involve subtraction
4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number
such that taking it mod 4, 5, and 7 leaves the desired remainders:

- Taken mod 4, the last two terms vanish and we have

so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have

so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have

so we multiply the last term by 7.
Now,

By the CRT, the system of congruences has a general solution

or all integers
,
, the least (and positive) of which is 27.
Answer:
ummm there is nothing
Step-by-step explanation: