4 in. 8. 6.7x = 5.2x + 12.3 11 2(n-3) = 4n+1 What is the answer
The Correct Answer and Explanation is:
Let’s break down and solve both equations step-by-step.
Equation 1:
6.7x=5.2x+12.36.7x = 5.2x + 12.36.7x=5.2x+12.3
Step 1: Subtract 5.2×5.2×5.2x from both sides to move the terms with xxx to one side: 6.7x−5.2x=12.36.7x – 5.2x = 12.36.7x−5.2x=12.3
This simplifies to: 1.5x=12.31.5x = 12.31.5x=12.3
Step 2: Now, divide both sides by 1.51.51.5 to solve for xxx: x=12.31.5=8.2x = \frac{12.3}{1.5} = 8.2x=1.512.3=8.2
So, the solution for the first equation is: x=8.2x = 8.2x=8.2
Equation 2:
2(n−3)=4n+12(n – 3) = 4n + 12(n−3)=4n+1
Step 1: Distribute the 222 on the left side: 2n−6=4n+12n – 6 = 4n + 12n−6=4n+1
Step 2: Move the terms with nnn to one side by subtracting 2n2n2n from both sides: −6=2n+1-6 = 2n + 1−6=2n+1
Step 3: Subtract 111 from both sides: −6−1=2n-6 – 1 = 2n−6−1=2n −7=2n-7 = 2n−7=2n
Step 4: Finally, divide both sides by 222 to solve for nnn: n=−72=−3.5n = \frac{-7}{2} = -3.5n=2−7=−3.5
So, the solution for the second equation is: n=−3.5n = -3.5n=−3.5
Final Answers:
- x=8.2x = 8.2x=8.2
- n=−3.5n = -3.5n=−3.5
