Flashcard 12.06.24 P1

Front

Solve the system by substitution: 6x + y = -1, y = -3x - 4

Back

(1, -7)

Front

What is the solution to the system: ?

Back

(1, 3)

Front

Solve by elimination: 4x + 9y = 28, -4x - y = -28

Back

(7, 0)

Front

Solve the system by substitution: 5x + 4y = -14, y = -7x - 15

Back

(-2, -1)

Front

This system has _____ solutions: 4x + 9y = 28, -4x - y = -28

Back

0

Front

Definition: Substitution Method

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

Definition: Elimination Method

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable.

Front

What does it mean if a system has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

Example of a system with one solution: 2x + 3y = 6, x - y = 1

Back

(3, 0)