System of equations review (12/13)

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the equal values method?

Back

The equal values method involves setting the equations equal to each other to find the value of the variable.

Front

How do you use the equal values method?

Back

1. Set the two equations equal to each other. 2. Solve for one variable. 3. Substitute back to find the other variable.

Front

What is the solution to the system of equations y = 6x + 3 and y = 4x - 15?

Back

(-9, -51)

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the graphical method of solving a system of equations?

Back

The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, it means they have no points of intersection, and thus, the system has no solution.

Front

What does it mean if two lines coincide in a system of equations?

Back

If two lines coincide, it means they are the same line, and the system has infinitely many solutions.