Solving Systems of linear equations

Front

What is a solution of a linear system if the lines are the same?

Back

Infinitely Many solutions

Front

What is the solution to the system of equations: 2x + 3y = 6 and 4x - y = 5?

Back

(2, 1)

Front

What is the solution of a linear system that has parallel lines?

Back

No solution

Front

What is the solution to this system of equations: 2x + y = 5 and 4x - 2y = 2?

Back

(4, -1)

Front

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

Back

Parallel lines

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines overlap completely.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel.

Front

What is the method called when you solve a system of equations by substitution?

Back

Substitution method

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate a variable.