Math Problem Statement

x+2y over 6;=y=2

Solution

You provided the equation x+2y6=y=2\frac{x + 2y}{6} = y = 2, which looks like it's attempting to express two equations simultaneously. However, it needs clarification.

I'll break it down into parts:

  1. x+2y6=y\frac{x + 2y}{6} = y
  2. y=2y = 2

Step 1: Solve y=2y = 2

This gives us the value of yy.

Step 2: Substitute y=2y = 2 into x+2y6=y\frac{x + 2y}{6} = y

Substituting y=2y = 2 into the first equation: x+2(2)6=2\frac{x + 2(2)}{6} = 2 Simplify: x+46=2\frac{x + 4}{6} = 2 Multiply both sides by 6: x+4=12x + 4 = 12 Subtract 4 from both sides: x=8x = 8

Final Solution:

  • x=8x = 8
  • y=2y = 2

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What happens if yy is not equal to 2?
  2. Can you solve x+2y6=y+1\frac{x + 2y}{6} = y + 1?
  3. How does the solution change if the denominator is different?
  4. What if the equation was 2x+y6=y\frac{2x + y}{6} = y?
  5. Can you express xx as a function of yy?

Tip: Always isolate variables step by step to avoid errors in solving equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Substitution Method

Formulas

Equation simplification
Substitution into linear equations

Theorems

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Suitable Grade Level

Grades 6-8