Solve Systems by Substitution

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 make all equations true simultaneously.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Front

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

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you determine if a system has no solution?

Back

If the equations represent parallel lines, they do not intersect.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

What is the first step in solving a system by substitution?

Back

Solve one of the equations for one variable in terms of the other.

Front

If x = 2y, what is y in terms of x?

Back

y = x/2.