Answer:
A: x
B: 24
C: -15x
D: -14x
Explanation:
This is a system of equations problem. The easiest way to find the answers to each of the given blanks is to seek a way to allow for terms within each equation to cancel out when added or subtracted from each other. We can see that within the Y column, they share the least common multiple of 10. In order for the top equation to yield a value of 10y, we must multiply the entirety of it by 2. By doing this we will get x + 10y = 24. Hence, A = x and B = 24. In order to yield a value of | 10y | in the lower equation, we must multiply the entirety of it by -5 (the negative is due to the fact that the value must be -10 in order to cancel out with 10y in the first equation upon adding them together). Once multiplied, we should get -15x - 10y = 200. The subtraction symbol between -15x and 10y can be seen as attached to 10y. These equations combined after multiplication will leave one to be solved for x --> -14x = 224. Therefore, C = -15x and D = -14x.