Solving Systems of Equations by Graphing

Front

If the solution is infinitely many, the lines will ________?

Back

overlap each other

Front

How many solutions does a system of equations have if it has no solution?

Back

No solution

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

What is the solution to a system of equations?

Back

The point or points where they intersect

Front

What is the solution to the system of equations: y = 2x + 1 and y = 2x - 3?

Back

No solution (parallel lines)

Front

What is the solution to the system of equations: y = x + 2 and y = -x + 4?

Back

(1, 3)

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines overlap completely.

Front

What is the term for lines that never intersect?

Back

Parallel lines

Front

What is the solution to the system of equations: 3x + 2y = 6 and x - y = 1?

Back

(2, 0)