Systems of Equations-All Methods

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 solution to the system of equations if the answer is (6,8)?

Back

The solution is the point where the two equations intersect, which is (6,8).

Front

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

Back

The solution is (2,5).

Front

What is the solution to the system of equations if the answer is (3,-4)?

Back

The solution is the point where the two equations intersect, which is (3,-4).

Front

What is the solution to this system: (-2, -2), (2, -2), (-2,2), (2, 2)?

Back

The solution is (-2,2).

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, making it easier to solve for the other.