Review Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines on a graph represent the solutions.

Front

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

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

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

Back

A consistent system has at least one solution.

Front

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

Back

An inconsistent system has no solutions.

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3, 0) is the solution.

Front

What is the value of y in the equation 3x + 2y = 12 when x = 2?

Back

y = 3.