Solving Systems Algebraically

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

Solve for x and y: 5x + 3y = 7, y = 4

Back

(-1, 4)

Front

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

Back

(1, 5)

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

Solve the system using elimination: 2x + 3y = 12, 5x - y = 13

Back

(3, 2)

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 system with one solution?

Back

Intersecting lines.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate a variable.