Question

Evaluate the expression - 4x + 5y - 14 when z = and y= The correct response to question 2 is: A: -1 B: -11 C: -15 D: -51​

Answer 1

Following the order of operations, the terms are calculated step by step, yielding 4 + 35 - 14, which simplifies to 39 - 14 and ultimately evaluates to -51. The correct evaluation of the expression -4x + 5y - 14 when x = -1 and y = 7 is -51. Therefore, the correct answer is D: -51​.

Step-by-step explanation:

To find the value of the expression -4x + 5y - 14, substitute the given values for x and y into the expression. In this case, when x = -1 and y = 7:

`\[ -4(-1) + 5(7) - 14 \]`

Simplify the expression step by step:

`\[ 4 + 35 - 14 \]`

Combine like terms:

`\[ 39 - 14 \]`

Finally, subtract:

`\[ -51 \]`

So, the correct answer is -51.

In this expression, each term is multiplied by a constant and then combined. The value of x and y are substituted according to the given information. The result, -51, represents the evaluation of the expression under the specified conditions. It is important to follow the order of operations (PEMDAS/BODMAS) to ensure accurate calculations. Therefore, the correct response to question 2 is option D: -51.