Solving Systems of Equations

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

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

Back

No solution, One solution, Infinitely many solutions.

Front

What is the best method to solve the system: y = 6x − 11 and −2x − 3y = −7?

Back

Substitution because a variable is isolated.

Front

What is the first step in solving using the substitution method?

Back

Get either variable by itself.

Front

Is (1,10) a solution to the system y=7x+5 and y=x+9?

Back

No.

Front

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

Back

They have no solution because they never intersect.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.