Question
Solve for \( x \) \( 4 x=10 \) \( \begin{array}{ll}\text { A. } O x=0.40 & \text { A. } O 29 \\ \text { For the equation } y=5+6 x, \text { what does } y \text { equal when } x \text { is } 4 \text { ? } \\ \text { B. } \\ \text { B. } 0.5 & \text { B. } 23 \\ \text { C. } 19\end{array} \)
Ask by French Harper. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 2.5 \) and \( y = 29 \).
Solution
Let's solve the problem step by step.
### Step 1: Solve for \( x \) in the equation \( 4x = 10 \)
To isolate \( x \), we divide both sides of the equation by 4:
\[
x = \frac{10}{4}
\]
Calculating the right side:
\[
x = 2.5
\]
### Step 2: Evaluate \( y \) in the equation \( y = 5 + 6x \) when \( x = 4 \)
Now, we substitute \( x = 4 \) into the equation:
\[
y = 5 + 6(4)
\]
Calculating the multiplication first:
\[
y = 5 + 24
\]
Now, adding:
\[
y = 29
\]
### Summary of Results
- The solution for \( x \) is \( 2.5 \).
- When \( x = 4 \), \( y \) equals \( 29 \).
### Final Answers
- \( x = 2.5 \)
- \( y = 29 \)
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Simplify this solution Bonus Knowledge
To solve the equation \( 4x = 10 \), divide both sides by 4 to isolate \( x \). This gives you \( x = \frac{10}{4} = 2.5 \). For the second part, substitute \( x = 4 \) into the equation \( y = 5 + 6x \). This becomes \( y = 5 + 6(4) = 5 + 24 = 29 \).
