Solving 2-3 Variables System 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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines or curves representing the equations.

Front

What is a unique solution in a system of equations?

Back

A single set of values for the variables that satisfies all equations.

Front

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

Back

The equations represent parallel lines that never intersect.

Front

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

Back

The equations represent the same line, leading to an infinite number of intersection points.

Front

How do you determine if a system of equations is consistent?

Back

If it has at least one solution, it is consistent.

Front

How do you determine if a system of equations is inconsistent?

Back

If it has no solutions, it is inconsistent.

Front

What is substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.