Systems of Equations using Substitution Practice

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has one solution?

Back

The graphs of the equations intersect at exactly one point.

Front

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

Back

The graphs of the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, so they intersect at every point on that line.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the first step in solving the system: x = 6 and y = 2x - 3?

Back

Substitute x = 6 into the second equation.

Front

What is the solution to the system: 5x - 2y = 3 and y = 2x?

Back

(3, 6)

Front

What is the solution to the system: x = 6 and y = 2x - 3?

Back

(6, 9)

Front

What is the graphical representation of a system with one solution?

Back

Two lines that intersect at a single point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never meet.