Substitution and Elimination Practice

Front

What is a system of equations?

Back

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

Front

When does a system of equations have no solutions?

Back

When the slopes of the lines are the same but the y-intercepts are different.

Front

What does it mean if two lines in a system of equations intersect?

Back

It means the system has one unique solution.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.

Front

Solve using substitution: x + y = 19 and y = 3x - 1.

Back

(5, 14)

Front

Solve using substitution: y = 7x + 9 and 2y + 2x = -18.

Back

(-2, -5)

Front

What is elimination in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

Solve using elimination: 2x + 3y = -2 and 3x - 2y = 23.

Back

(5, -4)

Front

What is the first step in solving using elimination?

Back

Add the like terms. The y terms will cancel out.

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.