HW: 4 - 11/14 (Week 15)

Front

What is the solution to the system of equations?

Back

The ordered pair that satisfies both equations.

Front

Solve for x and y: 5x + 3y = 7, y = 4

Back

(-1, 4)

Front

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

Back

(3, 0)

Front

What is the ordered pair that satisfies both equations in a system called?

Back

Solution

Front

What does it mean for two equations to be consistent?

Back

They have at least one solution.

Front

What does it mean for two equations to be inconsistent?

Back

They have no solutions.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

If two lines are parallel, what can be said about their system of equations?

Back

The system is inconsistent; there are no solutions.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.