Cougar Competition #3

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

It means the lines represented by the equations intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the lines represented by the equations coincide, or are the same line.

Front

How do you determine the solution of a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is 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, making it easier to solve for the other.

Front

What is the solution to the system of equations: 2x + y = 4 and y = -2x - 8?

Back

No solutions.

Front

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

Back

(3, 0).

Front

What is the solution to the system of equations: -x + y = -13 and -8x - 4y = -8?

Back

(5, -8).