Systems of Equations-Hysjulien

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

The lines coincide, meaning they are the same line.

Front

How do you solve a system of equations by elimination?

Back

You add or subtract the equations to eliminate one variable.

Front

What is the elimination method?

Back

A method for solving systems of equations by removing one variable.

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28.

Back

(7, 0)

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

Solve by elimination: -12x - 10y = 0 and 6x + 5y = -1.

Back

No solution.

Front

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

Back

(3, 0)