Solving a System by Substitution

Front

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

Back

The graph consists of parallel lines.

Front

How many solutions does a system of equations have if the lines intersect at one point?

Back

One solution.

Front

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

Back

The two lines are the same line.

Front

What is the solution to the system of equations if the lines intersect at (4, -2)?

Back

(4, -2) is the solution.

Front

If a system of linear equations has one solution, what can we say about the two lines?

Back

The lines intersect.

Front

What is the solution to a system of equations with parallel lines?

Back

No solution.

Front

What does it mean if two lines in a system of equations are the same line?

Back

There are infinitely many solutions.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of a line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -x + 5?

Back

The y-intercept is 5.