The difference of two numbers is 8. when twice the first number is added to three times the second number, the result is 51. what are the two
numbers?

The Answer is: The first number is 15 and the second one is 7.

Step-by-step explanation:

Let f = first number and s = second number

The difference between the two is 8:

f - s = 8

f = 8 + s

Twice the first number plus three times the second number is 51:

2f + 3s = 51

Substitute:

2(8 + s) + 3s = 51

16 + 2s + 3s = 51

16 + 5s = 51

5s = 51 - 16

5s = 35

s = 7, the second number

Find f:

f = 8 + 7 = 15, the first number

Proof:

f - s = 8

15 - 7 = 8

8 = 8

Hope this helps! Have an Awesome Day!! :-)

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)