Solving Systems Review

Front

What is the solution of a system of equations?

Back

The solution is the point where the graphs of the equations intersect, satisfying all equations in the system.

Front

What does it mean to 'solve a system'?

Back

Find the point that satisfies all of the equations.

Front

When both lines in a system are identical, the system has __________.

Back

infinite solutions.

Front

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

Back

no solution.

Front

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

Back

(2, 3).

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no points in common, resulting in no solution.

Front

What is the graphical representation of a system with infinite solutions?

Back

The two equations represent the same line.

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point.

Front

What is the solution of the system: 3x + 2y = 6 and 6x + 4y = 12?

Back

infinite solutions.

Front

What is the solution of the system: x + y = 5 and x - y = 1?

Back

(3, 2).