Math Problem Statement

[[v]/[2]]+16=20

Solution

Let's solve the equation:

v2+16=20\frac{v}{2} + 16 = 20

Step 1: Isolate the term with the variable

Subtract 16 from both sides of the equation to isolate v2\frac{v}{2}:

v2=2016\frac{v}{2} = 20 - 16

v2=4\frac{v}{2} = 4

Step 2: Solve for vv

To solve for vv, multiply both sides of the equation by 2:

v=4×2v = 4 \times 2

v=8v = 8

So, the solution is v=8v = 8.

Would you like any further details or explanations?


Here are 5 related questions to explore further:

  1. How would the solution change if the equation were v3+16=20\frac{v}{3} + 16 = 20?
  2. What if the equation was 2v+16=202v + 16 = 20?
  3. How can you check if your solution to the equation is correct?
  4. What are the steps to solve v2+10=20\frac{v}{2} + 10 = 20?
  5. How does solving v2+16=30\frac{v}{2} + 16 = 30 differ from the original equation?

Tip: Always perform the same operation on both sides of an equation to maintain equality.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Equations
Linear Equations
Isolating Variables

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9