Systems of Equations

Front

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

Back

Parallel lines.

Front

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

Back

(3,1)

Front

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

Back

(1,3)

Front

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

Back

(2,-4)

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is the graphical representation of a consistent system with exactly one solution?

Back

Intersecting lines.

Front

What is the graphical representation of a consistent system with infinitely many solutions?

Back

Coinciding lines.

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point(s) where the lines intersect.