Solving Systems by Substitution (easy)

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 by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the solution to the system y = 5x + 1 and y = 5x + 1?

Back

Many Solutions (0 = 0)

Front

What is the solution to the system x = 2y + 4 and x - 2y = 4?

Back

Many Solutions

Front

What does 'infinitely many solutions' mean?

Back

It means that there are countless pairs of values that satisfy the equations.

Front

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

Back

No Solution

Front

What is the solution to the system x = 3 and y = 4x?

Back

(3, 12)

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions.