Flashcard 12.06.24 P7

Front

What is the solution to the system of equations: 2x + 3y = 11 and x - y = -2?

Back

(1, 3)

Front

In solving by elimination, what is the result after the first step for the equations: -9x - 4y = -20 and 5x + 4y = 4?

Back

-4x = -16

Front

How many solutions does a consistent and independent system of equations have?

Back

One solution

Front

Is (4, 1) a solution for the system of equations: y = -x + 5 and y = 2x - 7?

Back

Yes

Front

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

Back

The lines cross once.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an independent system of equations?

Back

A system that has exactly one solution.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if both are true, it is a solution.