Solving Systems of Linear Equations with Special Cases

Front

If the solution is infinitely many, the lines will ________?

Back

overlap each other

Front

Solve the following system using any method: y=-x+4 and y=2x+4. What is the solution?

Back

(0,4)

Front

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

Back

parallel lines

Front

Using elimination method, what would the correct next step be? Not interested in the answer: 3x = -3, x - 6y = -24, x = -3, 3x = 3.

Back

3x = 3

Front

Using substitution, what is the correct next step? Not interested in the answer: 3x - 7(-2y-21) = 41, 3(-2y-21) - 7y = 41, -2(41-3x) - 21, (-5,-8).

Back

3(-2y-21) - 7y = 41

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 for two lines to be parallel in a system of equations?

Back

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

Front

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

Back

Two lines that intersect at a single point.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.