Systems-Substitution Method

Front

What is a solution to a system of equations?

Back

It's the point that solves both equations at the same time.

Front

If Erin is 3 years younger than twice Alex's age and their ages combined are 33, what system of equations represents this situation?

Back

x + y = 33, y = 2x - 3

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1

Back

(1,3)

Front

Solve: 8x + 4y = 12 and y = -2x + 3

Back

Infinitely many solutions

Front

Solve for x and y: 2x − 3y = −1 and y = x − 1

Back

(4,3)

Front

What does the substitution method involve?

Back

Replacing one variable with an expression from another equation.

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one of the equations for one variable.

Front

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

Back

There is no solution to the system.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

Front

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

Back

The equations represent the same line.