system of equations

Front

A system of equations with no solution will have lines that...

Back

are parallel and never touch.

Front

Which ordered pair represents a solution to both equations? (2, 2), (0, 4), (0, 0), (4, 0)

Back

(2, 2)

Front

What is the solution to this system of equations? Solve by substitution or graphing. (7, -8), (-7, 8), (-7, -8), (7, 8)

Back

(7, -8)

Front

A ________________ is a set of two or more equations that have the same variables.

Back

system of equations

Front

If the x-axis represents the number of weeks and the y-axis represents the earnings ($), what is the amount of earnings that both boys will have the same? $4, $2, $6, $8

Back

$8

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate grid that may intersect, be parallel, or be the same line.

Front

What does it mean if two lines intersect at a point on a graph?

Back

It means that there is a unique solution to the system of equations represented by those lines.

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.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solution, meaning the lines are parallel and never intersect.