Question
\( \frac{w}{5}=2 \) Objective:6.3.1 7. Solve the equation \( 2 x+3 x=50 \) Objective:6.4.1
Ask by Cook Ross. in the United States
Feb 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
w = 10 and x = 10
Solution
Let's solve each equation step by step.
1. Equation: w/5 = 2
• Multiply both sides by 5 to isolate w:
w/5 × 5 = 2 × 5
w = 10
2. Equation: 2x + 3x = 50
• Combine like terms on the left side:
(2 + 3)x = 5x, so the equation becomes 5x = 50
• Divide both sides by 5 to solve for x:
5x/5 = 50/5
x = 10
Thus, the solutions are:
• w = 10
• x = 10
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To solve \( \frac{w}{5} = 2 \), start by isolating \( w \) by multiplying both sides of the equation by 5. This gives you \( w = 2 \times 5 \), simplifying to \( w = 10 \). It’s fun to see how easily we can manipulate equations just by balancing what we do to each side! Now, for the equation \( 2x + 3x = 50 \), first, combine like terms on the left side. You will get \( 5x = 50 \). Dividing both sides by 5 gives you \( x = 10 \). Enjoy the satisfaction of watching numbers come together to reveal their secrets!
