Math Problem Statement

5y-3y=16

Solution

Let's solve the equation step by step.

The given equation is:

5y3y=165y - 3y = 16

Step 1: Combine like terms

Simplify the left side by combining the terms with yy:

(53)y=16(5 - 3)y = 16

2y=162y = 16

Step 2: Solve for yy

To isolate yy, divide both sides of the equation by 2:

y=162y = \frac{16}{2}

y=8y = 8

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

Would you like more details or have any questions?


Here are 5 related questions:

  1. What would happen if the equation were 5y+3y=165y + 3y = 16?
  2. How do you solve equations with variables on both sides?
  3. Can you solve 5y3y=05y - 3y = 0?
  4. What happens if you substitute y=8y = 8 back into the original equation?
  5. How do you solve quadratic equations involving y2y^2?

Tip: Always combine like terms before isolating variables when solving linear equations!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Combining Like Terms

Formulas

y = (sum of terms with y) / constant

Theorems

Basic properties of equality

Suitable Grade Level

Grades 6-8