Solving 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 has 0 solutions?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system has 1 solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are the same line, overlapping each other.

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5)

Front

What is the solution to the system of equations: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

In the equation y = 25x + 40, what does x represent?

Back

The number of months.

Front

If x = -1 in the equation x - y = 2, what is y?

Back

-3

Front

What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines on a graph.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.