Let’s say Peter’s number is P.
P minus 16 and the answer times -2 is -34
-2(P-16) = -34
-2P+32 = -34
-2P = -66
Divide by -2
P is 33.
Check: 33-16 is 17 and 17*-2 is -34. So
P is 33.
The required system of equations is 
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:

Adding eq(1) and eq(2)

Putting value of x=1 into eq(1) to find value of y

The solution set after solving system of equations is (1,4).
The required system of equations is 
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Answer:
x=-19
Step-by-step explanation:
566/6 = 94.3333333
down round 94.33333 to the closest whole number. which is 94
so there are 94 whole sixes in 566
in order to confirm our answer, you can do the following:
566 - 94*6 = 2 < 6