Linear Equations

Solve the system of equations: $2x + 3y = 6$ and $4x + 6y = 12$. What is the solution?

Given the equations $x + y = 5$ and $2x + 2y = 10$, determine the nature of the solution.

If the equations $3x - 2y = 4$ and $6x - 4y = 10$ are given, how many solutions exist?

What type of solution exists for the equations $y = 2x + 3$ and $y = 2x - 5$?

Consider the equations $x - y = 2$ and $2x - 2y = 4$. How many solutions does this system have?

For the equations $x + y = 1$ and $-x + y = 3$, what is the solution?

Analyze the system: $x + 2y = 6$ and $2x + 4y = 12$. What type of solution does this system have?

What is the solution to the equations $2x + y = 3$ and $4x + 2y = 5$?

If $x + y = 0$ and $2x + 2y = 0$, how many solutions does this system have?

Determine the nature of the solution for the equations $3x + y = 7$ and $3x + y = 4$.