Question

7|yl – xy²
(If x = 5 and y = -4)

Answer 1

To evaluate the expression 7|y| - xy² given x = 5 and y = -4, we substitute the values and simplify, resulting in a final answer of -52.

Step-by-step explanation:

The question at hand requires us to evaluate an expression with given values for x and y. Specifically, we are asked to compute 7|y| - xy² with x = 5 and y = -4. In order to solve this, we follow these steps:

1. First, substitute the given values of x and y into the expression, so it becomes 7|-4| - 5(-4)².
2. Next, we calculate the absolute value of y, which is |-4| = 4, and the square of y, which is y² = (-4)² = 16.
3. Then, proceed by calculating the full expression: 7(4) - 5(16).
4. Finally, perform the multiplication and subtraction to find the result: 28 - 80 = -52.

Thus, the final answer after evaluating the expression is -52.