Systems of Linear Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1

Back

(1, 3)

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13

Back

(1, 5)

Front

Solve the system of equations: x + 2y = -3 and x - y = -12

Back

(-9, 3)

Front

Solve for x and y: y = 2/3x - 2 and y = -x + 3

Back

(3, 0)

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if two lines intersect in a graph of a system of equations?

Back

The system has one unique solution.

Front

What is the solution of a system of equations represented graphically?

Back

The point(s) where the lines intersect.

Front

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

Back

The equations represent the same line.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other.