Question

By how much does 1 exceed 2x-3y-4?

Answer 1

Let’s turn this question into a formula to see if that helps us understand it.

So, how do we turn “By how much does 1 exceed 2x-3y-4?” into a formula?

Let’s take a simpler example first. Imagine we were asking, “By how much does 1 exceed 3?”

Let’s say that 1 exceeds 3 by “z.” Thus, 1 + z = 3. Therefore, z = -2, so we can say that 1 exceeds 3 by -2. (In other words, 1 is greater than 3 by -2, or 3 is greater than 1 by 2.)

Now let’s try applying this concept to the question that was given. Again, let’s say that 1 exceeds 2x - 3y + 4 by “z.” So 1 + z = 2x - 3y + 4.

Now we just have to solve for z. We can subtract 1 from both sides of the equation to get: z = 2x - 3y + 3.

Therefore, 1 exceeds 2x - 3y + 4 by the value (2x - 3y +3).