Unit 4 Systems Part 2 Review A

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

Solve the system: x + 2y = -4 and x - 2y = 8.

Back

(2, -3)

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve the system by graphing: y = 3 - x and 3y + x = 5.

Back

(2, 1)

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

Solve the system: 2x - 3y = 6 and 7x - 3y = -9.

Back

(-3, -4)

Front

What is the solution to the system of equations if the lines are parallel?

Back

There is no solution, as parallel lines never intersect.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where the intersection point(s) represent the solution(s).

Front

Solve the system: 3x + 2y = 12 and x - y = 1.

Back

(2, 3)

Front

What is a unique solution in a system of equations?

Back

A unique solution occurs when the lines intersect at exactly one point.