Substitution & Elimination!

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 remaining variable.

Front

Solve by substitution: 3x - y = 5 and x + y = 3. What is the value of X?

Back

X = 2

Front

Solve the system: x + y = 19 and y = 3x - 1. What is the solution?

Back

(5, 14)

Front

Solve by substitution: 2x - 8y = 22 and x = -7y. What is the solution?

Back

(7, -1)

Front

Solve the system of equations: 3x + 2y = 16 and 14x + 2y = 38. What is the solution?

Back

(2, 5)

Front

Solve by elimination: -6x + 5y = 5 and 6x - 3y = 9. What is the solution?

Back

(5, 7)

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.

Front

What is a dependent system of equations?

Back

A dependent system has infinitely many solutions, as the equations represent the same line.