Question

Suppose f(x, y) = 2x − y + 10. What is f(−1, 3)?

A. 17
B. -17
C. 5
D. -5

Answer 1

To find the value of f(−1, 3), we substitute x with −1 and y with 3 into the function f(x, y).

The function f(x, y) is defined as:

\[ f(x, y) = 2x - y + 10 \]

Now, plugging in the values for x and y, we get:

\[ f(-1, 3) = 2(-1) - 3 + 10 \]

This simplifies to:

\[ f(-1, 3) = -2 - 3 + 10 \]

Further simplifying by combining the like terms:

\[ f(-1, 3) = -5 + 10 \]

\[ f(-1, 3) = 5 \]

So, the value of f(−1, 3) is 5, which corresponds to option C.

Answer 2

By substituting x with −1 and y with 3 in the function f(x, y) = 2x − y + 10, we carry out the arithmetic operation and find that f(−1, 3) equals 5, which corresponds to option C.Therefore, the value of f(−1, 3) is 5, which corresponds to option C.11

Step-by-step explanation:

To find f(−1, 3), we substitute −1 for x and 3 for y in the given function f(x, y) = 2x − y + 10. We then perform the arithmetic operation as follows:

1. Substitute x with −1: 2(−1) becomes −2.
2. Substitute y with 3: −3.
3. Combine these with the constant 10: −2 − 3 + 10.
4. Perform the addition and subtraction: −2 + −3 + 10 equals 5.

Therefore, the value of f(−1, 3) is 5, which corresponds to option C.11