Systems of Equations (Substitution)

Front

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

Back

get either variable by itself

Front

How many solutions does the graph have?

Back

One solution

Front

Solve the following systems of equations using substitution: x = 6, y = 2x - 3. What is the solution?

Back

(6, 9)

Front

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

Back

Substitution because a variable is isolated.

Front

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

Back

Intersect

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinite solutions?

Back

The lines representing the equations are the same line, meaning they intersect at every point.

Front

In the substitution method, what do you do after isolating a variable?

Back

Substitute the expression for that variable into the other equation.

Front

What is the substitution method used for?

Back

To solve systems of equations by replacing one variable with an equivalent expression.