Solving Systems by Substitution

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

Coinciding lines (overlapping)

Front

TRUE or FALSE: If an equation is not set up to do what we need it to do, we can change it as long as we follow rules of equality.

Back

TRUE

Front

Which option shows the CORRECT substitution for the system: 8x + 6(3x - 3) = 8?

Back

8x + 6(3x - 3) = 8

Front

Which option shows the CORRECT substitution for the system: 3x - 3y = -5x - 17?

Back

3x - 3(-5x - 17) = 3

Front

TRUE or FALSE: When both equations have the same variable isolated, substituting the first into the second looks like setting the two equal to each other.

Back

TRUE

Front

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

Back

Isolate one variable in one of the equations.

Front

What does it mean for two lines to be parallel in the context of a system of equations?

Back

They have no solutions because they never intersect.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.