EL Math 1 - Systems of Linear Equations

Front

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

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The solution is the point where the two lines intersect at (1, -1).

Front

Solve by elimination: 4x - 4y = 52 and -8x - 4y = -8.

Back

The solution is (5, -8).

Front

When should you use the Substitution method to solve a system of equations?

Back

Use the Substitution method when one equation can be easily solved for one variable.

Front

Solve by elimination: 8x + 4y = 12 and 2x + y = 2.

Back

There is no solution to this system of equations.

Front

What are the characteristics of intersecting lines in a system of equations?

Back

Intersecting lines have one unique solution where they cross.

Front

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

Back

It means the equations represent the same line, and every point on the line is a solution.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Front

What is a system of linear equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

Parallel lines indicate that the system has no solution.