Linear Equations

If the system of equations $2x + 3y = 6$ and $4x + 6y = 12$ is given, how many solutions does it have?

Which of the following systems of equations has no solution? $2x + y = 5$ and $2x + y = 10$?

For the equations $x + 2y = 4$ and $3x + 6y = k$, what value of $k$ results in infinitely many solutions?

If the equations $y = 2x + 3$ and y = -rac{1}{2}x + 1 are graphed, how many solutions does the system have?

The equations $2x + 5y = 10$ and $4x + 10y = c$ have infinitely many solutions when $c$ is equal to what?

Determine the number of solutions for the system: $x - y = 1$ and $2x - 2y = 3$.

What is the condition for the equations $3x + 2y = 6$ and $9x + 6y = d$ to have one solution?

Identify the number of solutions to the system: $y = 4x - 1$ and $y = 4x + 3$.

Find the value of $k$ so that the equations $x + y = 5$ and $kx + ky = 10$ have infinitely many solutions.

If the equations $4x - y = 8$ and $-8x + 2y = -16$ are given, how many solutions does the system have?