Flashcard - Solve 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 if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations intersect at exactly one point.

Front

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

Back

The lines representing the equations are the same line, overlapping completely.

Front

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

Back

If the lines are parallel, they will never intersect.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

What is the graphical method for solving systems of equations?

Back

Plotting the equations on a graph and finding the intersection point.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the solution to a system of equations using substitution?

Back

Solve one equation for one variable and substitute it into the other equation.