Systems Review

Front

What is a system of equations?

Back

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

Front

How do you find the intersection of two equations using a calculator?

Back

You can find the intersection by graphing the equations and identifying the point where they cross, or by using the calculator's solve function.

Front

What is the solution to the system of equations: 2x − 3y = −1 and y = x − 1?

Back

(4, 3)

Front

What does the ordered pair (3, 8) represent in a system of equations?

Back

It represents the solution to the system, indicating the values of x and y that satisfy both equations.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation. If both equations are true, the point is a solution.

Front

What is the intersection of the equations y = 6x and y = 3x + 21?

Back

(7, 42)

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of the lines of the equations plotted on a coordinate plane, where the intersection points represent the solutions.

Front

What is the solution to the system of equations: y = \frac{x}{9} and x - 5y = 20?

Back

(45, 5)

Front

What is the significance of the intersection point in a system of equations?

Back

The intersection point represents the values of the variables that satisfy all equations in the system.

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.