Week #12 8.EE.8b SOLVE SYSTEMS OF EQUATIONS/SUBSTITUTION Flashcard

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

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

Back

The equations represent parallel lines that never intersect.

Front

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

Back

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

Front

How do you determine if a system of equations has one solution?

Back

The equations represent lines that intersect at exactly one point.

Front

Solve for x and y: 5x + 3y = 7, y = 4

Back

(-1, 4)

Front

Solve for x and y: y = -2x + 18, y = 8

Back

(5, 8)

Front

What is the result of the statement 4 = 7 in a system of equations?

Back

No solution, as it is a false statement.

Front

What is the solution to the system: 2x + 3y = 6, y = 0?

Back

(3, 0)