Substitution and Elimination Flashcardizz

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 to find the values of both variables.

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 remaining variable.

Front

Solve using substitution: 2x + 3y = 6 and y = 2x - 1. What is the solution?

Back

(1, 2)

Front

Solve using elimination: 3x + 2y = 12 and 2x - y = 1. What is the solution?

Back

(2, 3)

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

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

Front

Solve by elimination: 4x + 5y = 20 and 2x - 3y = -6. What is the solution?

Back

(3, 2)

Front

Solve by substitution: x + y = 5 and y = 3x - 1. What is the solution?

Back

(2, 3)

Front

What is the first step in the substitution method?

Back

Isolate one variable in one of the equations.

Front

What is the first step in the elimination method?

Back

Align the equations and decide whether to add or subtract them to eliminate a variable.