Flashcard 12.06.24 P8

Front

Solve by elimination: 2x + 9y = -7 and 6x - 3y = 9

Back

(1, -1)

Front

What is the solution to the system: 2x + 3y = 7 and x - y = 4?

Back

(1, 3)

Front

What is the solution: 3x + 2y = 4 and 6x + 4y = 8?

Back

(1, -1)

Front

How many solutions if the system is inconsistent?

Back

No solution

Front

How many solutions if the system is consistent and dependent?

Back

Infinitely many solutions

Front

What does it mean for a system of equations to be consistent?

Back

A system is consistent if it has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

A system is inconsistent if it has no solutions.

Front

What does it mean for a system of equations to be dependent?

Back

A system is dependent if it has infinitely many solutions.

Front

What is the graphical representation of a consistent system?

Back

Two lines that intersect at one point.

Front

What is the graphical representation of an inconsistent system?

Back

Two parallel lines that never intersect.