Linear equations (two variables)

Front

What does it mean if the lines in a system of linear equations are coincident?

Back

The system has infinitely many solutions.

Front

How many solutions does a system of linear equations have if the lines are parallel?

Back

No solutions.

Front

What does it indicate if a system of linear equations has one solution?

Back

The two lines intersect at one point.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3,1)

Front

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

Back

Two parallel lines.

Front

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

Back

Two coincident lines.

Front

If a system of linear equations has two solutions, what does this imply?

Back

This is not possible; a system can have either no solutions, one solution, or infinitely many solutions.

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 + 4?

Back

The y-intercept is 4.

Front

How do you determine if a point (x,y) is a solution to a system of equations?

Back

Substitute x and y into both equations; if both are true, it is a solution.