Question
Evaluate the expression 5x−4y/2
5
𝑥
−
4
𝑦
2
when x = 8 and y = 4(1 point)
Responses
12
12
7
7
10
10
9
9
5
𝑥
−
4
𝑦
2
when x = 8 and y = 4(1 point)
Responses
12
12
7
7
10
10
9
9
Answers
GPT-4o mini
To evaluate the expression \( \frac{5x - 4y}{2} \) when \( x = 8 \) and \( y = 4 \):
1. Substitute \( x = 8 \) and \( y = 4 \) into the expression.
\[
\frac{5(8) - 4(4)}{2}
\]
2. Calculate \( 5(8) \) and \( 4(4) \):
\[
5(8) = 40
\]
\[
4(4) = 16
\]
3. Now substitute those values back into the expression:
\[
\frac{40 - 16}{2}
\]
4. Simplify \( 40 - 16 \):
\[
40 - 16 = 24
\]
5. Now divide by 2:
\[
\frac{24}{2} = 12
\]
Thus, the value of the expression when \( x = 8 \) and \( y = 4 \) is **12**.
1. Substitute \( x = 8 \) and \( y = 4 \) into the expression.
\[
\frac{5(8) - 4(4)}{2}
\]
2. Calculate \( 5(8) \) and \( 4(4) \):
\[
5(8) = 40
\]
\[
4(4) = 16
\]
3. Now substitute those values back into the expression:
\[
\frac{40 - 16}{2}
\]
4. Simplify \( 40 - 16 \):
\[
40 - 16 = 24
\]
5. Now divide by 2:
\[
\frac{24}{2} = 12
\]
Thus, the value of the expression when \( x = 8 \) and \( y = 4 \) is **12**.