Solving Systems of Equations

The system has coinciding lines, meaning the equations represent the same line on a graph.

Parallel lines indicate that there is no solution to the system, as the lines never intersect.

The solution is the point where the two lines intersect on the graph.

No solution (the lines are parallel).

It represents the point where the two lines intersect, indicating the values of x and y that satisfy both equations.

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

1. Align the equations. 2. Multiply if necessary to match coefficients. 3. Add or subtract the equations to eliminate one variable. 4. Solve for the remaining variable.

It means the lines are parallel and will never intersect.

x = 2, y = 1/2.

A set of two or more equations with the same variables.