Systems of Equations

Front

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

Back

Parallel lines.

Front

How many solutions does the equation 3x - 4 = -4 + 3x have?

Back

Infinite Solutions.

Front

Solve for x: 11 = 3x + 8x.

Back

x = 1.

Front

What is the solution type for the system of equations y = 2x + 4 and y = 2x - 4?

Back

No Solution.

Front

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

Back

The equations represent the same line.

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 at one point?

Back

The system has one unique solution.

Front

What is the graphical representation of a system with no solutions?

Back

The lines are parallel and never intersect.

Front

How can you determine if a system of equations has infinite solutions?

Back

If the equations are equivalent, they represent the same line.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for a variable and substituting it into the other equation.