Systems of Equations (Substitution)

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

Solve the following systems of equations using substitution: x = 6 y = 2x - 3

Back

(6, 9)

Front

Solve the following systems of equations using substitution: y = 3 - x 3y + x = 5

Back

(2, 1)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

Which is the best method to use? y = 6x − 11 −2x − 3y = −7

Back

Substitution because a variable is isolated.

Front

What is a system of equations?

Back

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

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.

Front

What is substitution in the context of solving equations?

Back

Replacing one variable with an expression involving another variable.

Front

When is substitution the preferred method for solving systems of equations?

Back

When at least one equation is solved for one variable.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.