Substitution and Elimination Practice

Front

What is the substitution method in solving systems of equations?

Back

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

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 the system using substitution: y = 8x + 1, y = 6x + 3

Back

(1, 9)

Front

Which method is best for solving: 3x - 4y = -2, y = 2x + 1?

Back

Substitution

Front

Which method is best for solving: 2x + 2y = 11, 3x - 4y = -2?

Back

Elimination

Front

Solve the system using elimination: 3x + y = 19, 2x - y = 6

Back

(5, 4)

Front

Solve the system using substitution: y = 7x + 9, 2y + 2x = -18

Back

(-2, -5)

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.