Algebra 1 5.3-5.4 Flashcard

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 elimination: 2x + 3y = 12 and 5x - y = 13.

Back

(3, 2)

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

Solve by elimination: 4x - 6y = -6 and -2x - 12y = -12.

Back

(0, 1)

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 the system using substitution: y = 2x + 1 and 3x - y = 4.

Back

(1, 3)

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

Solve by elimination: 2x + 9y = -7 and 6x - 3y = 9.

Back

(1, -1)

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

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and intercepts of the lines represented by the equations.