Does this system of equations have a solution?

1. How do you check if a system of equations has a solution?
2. How do you know if a system of equations has no solution?
3. How many solutions does this linear system have y =- 6x 2 12x 2y =- 4?

How do you check if a system of equations has a solution?

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.

How do you know if a system of equations has no solution?

When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

How many solutions does this linear system have y =- 6x 2 12x 2y =- 4?

y = -6x + 2 and -12x - 2y = -4, how many solutions does this linear system have? Summary: The linear system of equations y = -6x + 2 and -12x - 2y = -4 has infinitely many solutions.