Unit 6 Day 2 Solving Systems by Substitution

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Front

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

Back

Intersect.

Front

What is the solution type when two lines are parallel?

Back

No solution.

Front

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

Back

The equations represent the same line.

Front

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

Back

Two lines intersecting at a single point.

Front

What is the term for a system of equations that has no solutions?

Back

Inconsistent system.

Front

What is the term for a system of equations that has exactly one solution?

Back

Consistent and independent system.

Front

How do you determine if a system has infinitely many solutions?

Back

If the equations are equivalent.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting it into the other equation.

Front

What does it mean for two lines to intersect at a point?

Back

They have a unique solution (x, y).