If x = 5 and y = 7, what is the value of the expression 3x - 4y + 2?

To find the value of the expression 3x - 4y + 2 when x = 5 and y = 7, you start by substituting these values into the expression.

Begin with the expression:

3x - 4y + 2

Substituting x and y:

= 3(5) - 4(7) + 2

Now, calculate each term:

3(5) equals 15,

4(7) equals 28.

So, the expression becomes:

15 - 28 + 2.

Next, perform the subtraction:

15 - 28 equals -13.

Then, add 2:

-13 + 2 equals -11.

Therefore, the value of the expression is -11. This is why the answer is correct; it accurately reflects the calculation based on the given values for x and y.