Math Problem Statement

Check if(0,2) is the solution of the equation x-2y=4

Solution

To check if (0,2)(0, 2) is a solution of the equation x2y=4x - 2y = 4, we substitute x=0x = 0 and y=2y = 2 into the equation:

x2y=4x - 2y = 4

Substituting the values: 02(2)=40 - 2(2) = 4

Simplify: 04=40 - 4 = -4

Since 44-4 \neq 4, (0,2)(0, 2) is not a solution of the equation x2y=4x - 2y = 4.


Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:

  1. How can you determine if a point satisfies an equation?
  2. What is the geometric interpretation of x2y=4x - 2y = 4?
  3. Can you find another point that satisfies x2y=4x - 2y = 4?
  4. What steps are involved in solving equations for a specific variable?
  5. How do you graph x2y=4x - 2y = 4?

Tip: Always substitute the given values into the equation and simplify to verify if a point is a solution.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

Substitute the coordinates into the equation: x - 2y = 4

Theorems

Verification of solutions to linear equations

Suitable Grade Level

Grades 6-8