True, integers are all counting numbers and their opposites, and all of them can be represented as a fraction
example: 3 is a counting number(integer) and it is rational because it can be represented as 3over1
Let x and y represent the two numbers.
.. x = 6 +12y . . . . . one number is 6 greater than 12 times another
.. x + y = 214 . . . . their total is 214
Substitute for x in the second equation using the first equation.
.. (6 +12y) +y = 214
.. 13y = 208 . . . . . . . . simplify and subtract 6
.. y = 16 . . . . . . . . . . . divide by 13
.. x = 214 -y = 198
The numbers are 198 and 16.
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These are solved easily any of several ways on a graphing calculator. You should learn to use yours for that purpose.
Answer:
m = 15
Step-by-step explanation:
10m = 10 - 5(m-7)
multiply -5 into the parenthesis
10m = 10 - 5m + 35
add like terms
10m = -5m + 45
add five 5 to both sides
15m = 45
divide by 15 on both sides to isolate m
m = 15
I would suggest trying 3/15 but I could be wrong
