x = e, 5, 7, 10, 12

y = 10, 13, 19, f, 34

a. f = 28; e = 4
b. e = 28; f = 4
c. f = 30; e = 2
d. e = 30; 5 = 2

y=3x-2 .....

so what is the answer

Assume a straight line.

As x increases by 2 (5-7) y increases by 6 (13-19).

So try y = 3x

But, 13 - 3*5-2. So, try

y = 3x-2

it works for all the known pairs. So, fill in e and f.

sorry. You have the equation.

Plug in the given x or y value and solve for e or f.

You gotta do something here, dontcha?

Stop looking for freebies...

To find the value of "e" and "f" in the given equations, we need to look for patterns or relationships between the two sets of values.

Let's break down the given equations:
x = e, 5, 7, 10, 12
y = 10, 13, 19, f, 34

Looking at the values in set "x," we can see that the numbers increase by a constant amount each time. The difference between each consecutive number is 2, except between 7 and 10, where the difference is 3. Therefore, the pattern is adding 2 to each number.

Similarly, looking at the values in set "y," we can see that the numbers also increase by a constant amount each time, except for the missing value "f". The difference between consecutive numbers is 3, except between 19 and "f", where the difference is unknown.

To find the missing values, we can use the pattern we observed in set "x" to calculate the missing value in set "y". Let's apply the pattern to find the missing value:

Starting with the number 10 in set "y", we add 3 to find the next number: 10 + 3 = 13.
Then, we add 3 to 13 to find the next number: 13 + 3 = 16.
Next, we add 3 to 16 to find the next number: 16 + 3 = 19.

Since the difference between 19 and "f" is unknown, we need to determine the difference between the next number in set "x" and the next number in set "y". The next number in set "x" is 12, which is 2 more than the previous number.

So, we need to find a value that, when we add 2 to it, gives us the unknown value in set "y" (19 + unknown = f). By subtracting 2 from the next number in set "y", we can find the value of "f":

19 + unknown = f
Unknown = f - 19
Unknown = 12 - 19
Unknown = -7

Therefore, the missing value "f" in set "y" is -7.

Now that we have found the value of "f", let's determine the value of "e".

Looking at set "x", the first number is "e". We observe that the difference between the first two numbers in set "x" is 2 (e to 5). Therefore, we can find the value of "e" by subtracting 2 from the first number in set "x":

e - 2 = 5
e = 5 + 2
e = 7

Therefore, the value of "e" is 7.

Given the above analysis, neither option a, b, c, nor d correctly identifies the values of "e" and "f". The correct answer is:
e = 7; f = -7