Flashcard 6: System of linear equations

Front

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

Back

Parallel lines.

Front

What is the solution to the system of equations y = -4x + 5 and -3x + y = -16?

Back

(3, -7)

Front

If y varies with x and y is 7 when x is 14, what is the constant of variation?

Back

1/2

Front

What type of lines represent a system of equations with infinitely many solutions?

Back

Coinciding lines.

Front

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

Back

(3, 0)

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel.

Front

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

Back

If the lines are parallel.

Front

What is the graphical representation of a system of equations with exactly one solution?

Back

Intersecting lines.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one equation for one variable.

Front

What is the solution to the system of equations x + y = 5 and x - y = 1?

Back

(3, 2)