Solving Systems of Linear Equations

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

Solve the system: y=8x+1 and y=6x+3

Back

(1, 9)

Front

Solve the system: y = 2/3x - 2 and y = -x + 3

Back

(3, 0)

Front

Solve the system: 3x + 2y = 16 and 7x + y = 19

Back

(2, 5)

Front

Solve the system: y=-x+4 and y=2x+4

Back

(0, 4)

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 a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then 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.