Encuentra el valor numérico de la siguiente expresión 4x-5y +2a +8bCuando x = 1    y = - 2    a = 3      b = - 4Pregunta 8Seleccione una:a.-16b.10c.-12

1. Break Down the Problem

To find the numerical value of the expression $4x - 5y + 2a + 8b$ when $x = 1$, $y = -2$, $a = 3$, and $b = -4$. We will substitute the given values into the expression.

2. Relevant Concepts

We will use basic algebraic substitution and arithmetic operations.

3. Analysis and Detail

We start with the expression: $4x - 5y + 2a + 8b$

Now, substitute the given values:

• $x = 1$
• $y = -2$
• $a = 3$
• $b = -4$

Substituting these values into the expression, we have:

$4(1) - 5(-2) + 2(3) + 8(-4)$

Now we calculate each term:

1. $4(1) = 4$
2. $-5(-2) = 10$
3. $2(3) = 6$
4. $8(-4) = -32$

Now we can combine all these results: $4 + 10 + 6 - 32$

Calculating further:

1. $4 + 10 = 14$
2. $14 + 6 = 20$
3. $20 - 32 = -12$

4. Verify and Summarize

The calculation yields a final value of $-12$. This matches one of the options.

Final Answer

The value of the expression is $-12$, which corresponds to the option c. -12.