Part 3 Final Exam Review Flashcardizz

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 variable.

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5

Back

(-1, -2)

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 thus every point on the line is a solution.

Front

Solve by elimination: -4x - 4y = 0 and 4x + 4y = 0

Back

Infinite number of solutions

Front

What is a solution to a system of equations?

Back

A solution is an ordered pair (x, y) that satisfies all equations in the system.

Front

Find the solution to the system: y = x - 6 and y = -3x + 2

Back

(2, -4)

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

If y = 1 in the system y = -x + 5 and y = 2x - 7, what is the solution?

Back

(4, 1)

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

Solve the system: 2x + 3y = 6 and x - y = 1

Back

(3, 0)