Systems of Equations

Front

What is a solution of a system of equations?

Back

The ordered pair that satisfies all equations in the system.

Front

What is the solution to the system: y = 3x - 8 and y = 4 - x?

Back

(3,1)

Front

What is the solution to the system: y = 2x + 1 and y = 5 - x?

Back

(1,3)

Front

What kind of lines have no solution to a system of equations?

Back

Parallel Lines

Front

What is the solution to the system: y = x + 2 and y = 2x - 1?

Back

(1,3)

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 two lines intersect in a graph of a system of equations?

Back

The system has one unique solution.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3,0)

Front

What is the solution to the system: 4x - y = 7 and 2x + y = 3?

Back

(2, -1)