ALG2 SYSTEMS

Front

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

Back

The two lines are intersecting lines.

Front

How many solutions can a linear-quadratic system have?

Back

0 solutions, 1 solution, 2 solutions, or 3 solutions.

Front

What is the solution to the system of equations: y=x-4 and (x+2)^2+y^2=36?

Back

(4,0)

Front

What method can be used to solve systems of equations?

Back

Elimination or substitution.

Front

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

Back

There are no solutions.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The two lines are the same line.

Front

How do you determine the number of solutions in a linear-quadratic system?

Back

By finding the points of intersection between the linear and quadratic equations.

Front

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

Back

(3,0)

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.

Front

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

Back

Solve one equation for one variable.