Math Problem Statement

6-4y=50

Solution

To solve the equation 64y=506 - 4y = 50, let's proceed step by step:

Step 1: Subtract 6 from both sides

64y=506 - 4y = 50 4y=506-4y = 50 - 6 4y=44-4y = 44

Step 2: Divide both sides by -4

y=444y = \frac{44}{-4} y=11y = -11

So, the solution is y=11y = -11.

Would you like more details or have any questions? Here are some related questions:

  1. How do you solve two-variable linear equations?
  2. What happens when an equation contains fractions?
  3. How can you check your solution to an equation?
  4. How do you solve inequalities involving variables?
  5. What are the common mistakes when solving linear equations?

Tip: Always double-check your final solution by plugging it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic equation-solving steps: isolate the variable, balance both sides of the equation

Theorems

Additive property of equality
Multiplicative property of equality

Suitable Grade Level

Grades 6-8