Solving a System of Linear Equations: 0 = 2y − x and 0 = 2x − y

Math Problem Statement

Find the the solution of the differential equations...y

0 =

2y − x

2x − y

The given problem seems to be asking for the solution of a system of differential equations represented as:

0 = 2y - x \\ 0 = 2x - y \end{cases}$$ This is a system of linear equations, not differential equations. Let's solve it: ### Step 1: Set up the equations From the first equation: $$2y - x = 0$$ From the second equation: $$2x - y = 0$$ ### Step 2: Solve

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Linear Algebra
Systems of Equations

Simultaneous equations
Matrix representation of linear equations

Substitution method for solving equations
Determinants and inverse matrices

Grades 10-12

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