Solving Systems of Equations

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

Solve the following system by graphing. What is the solution? (Example: y = 2x + 1 and y = -x + 4)

Back

(3, 3)

Front

How is a coordinate pair ordered?

Back

(x, y)

Front

These two lines intersect at _____ (Example: y = 2x - 2 and y = -x + 2).

Back

(4, -2)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect.

Front

What are the possible types of solutions for a system of equations?

Back

No solution, one solution, or infinitely many solutions.

Front

What does it mean if two lines are coinciding?

Back

They are the same line and have infinitely many solutions.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel (only in 3D space).

Front

What is the graphical representation of a system of equations?

Back

A graph showing the lines of the equations.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that value into the other equation.