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?

Back

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

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

Front

If two equations represent the same line, what is the solution?

Back

Infinitely Many Solutions (0 = 0).

Front

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

Back

Many Solutions (0 = 0).

Front

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

Back

(3, 12).

Front

What is the solution to the system: x = 3 and y = 2x + 5?

Back

(3, 11).

Front

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

Back

The lines are parallel and do not intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.