Question
Evaluate the expression if \( x=5, y=-7 \) and \( a=7 \). \( 3 x-4 y+4 a \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( 3 x-4 y+4 a=\square \) (Type an integer or a simplified fraction.) B. The answer is undefined.
Ask by Reeves Barber. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 3x - 4y + 4a = 71 \)
Solution
We are given the expression
\[
3x - 4y + 4a
\]
and the values
\[
x = 5,\quad y = -7,\quad a = 7.
\]
**Step 1. Substitute the values into the expression:**
\[
3(5) - 4(-7) + 4(7)
\]
**Step 2. Multiply the terms:**
\[
15 + 28 + 28
\]
**Step 3. Add the results:**
\[
15 + 28 = 43,\quad 43 + 28 = 71
\]
Thus, the evaluated expression is
\[
3x - 4y + 4a = 71.
\]
The correct choice is
A. \( 3x - 4y + 4a = 71 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
Let's substitute the given values into the expression \( 3x - 4y + 4a \). First, substitute \( x = 5 \), \( y = -7 \), and \( a = 7 \): \[ 3(5) - 4(-7) + 4(7) \] Now, calculate each term: 1. \( 3(5) = 15 \) 2. \( -4(-7) = 28 \) (Notice the double negative) 3. \( 4(7) = 28 \) Now, combine all the terms: \[ 15 + 28 + 28 = 15 + 56 = 71 \] So, we have: A. \( 3x - 4y + 4a = 71 \)