Flashcard 6-7M: System of linear equations

Front

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

Back

Parallel lines.

Front

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

Back

The two lines are intersecting.

Front

Find the solution to the system of equations: y = -4x + 5 and -3x + y = -16.

Back

(3, -7)

Front

What is the constant of variation if y varies with x when y is 7 and x is 14?

Back

1/2

Front

How many solutions will a system of equations have if it has no solution?

Back

No solution.

Front

What is a system of linear equations?

Back

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

Front

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

Back

They have the same slope but different y-intercepts, resulting in no intersection.

Front

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

Back

The same line.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.