Systems CFA

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute that expression into the other equation.

Front

How do you determine if a solution is correct for a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

It is the point(s) where the graphs of the equations intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve the system: 2x + 3y = 6 and x - y = 1.

Back

(3, 0)

Front

Solve the system: y = 2x + 1 and y = -x + 4.

Back

(1, 3)

Front

What is a consistent system of equations?

Back

A system that has at least one solution.