Systems of Equations

Front

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

Back

The graph consists of parallel lines.

Front

What is the value of x in the solution for the system of equations 2x - y = 4 and y = -2x + 8?

Back

x = 3

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19.

Back

(2, 5)

Front

Which of the following is not a method to solve systems of equations: Elimination, Difference of Squares, Substitution, Graphing?

Back

Difference of Squares

Front

Solve for x and y: y = 2/3x - 2 and y = -x + 3.

Back

(3, 0)

Front

What is a system of equations?

Back

A set of two or more 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

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.