Answer:
he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.
I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.
My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?
For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.
In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.
Step-by-step explanation:
