Equal Values Method

Front

What is the Equal Values Method?

Back

A method used to solve systems of equations by setting the equations equal to each other.

Front

How do you apply the Equal Values Method?

Back

1. Set the two equations equal to each other. 2. Solve for one variable. 3. Substitute back to find the other variable.

Front

What does it mean if a system of equations has one solution?

Back

It means the lines intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and never intersect.

Front

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

Back

It means the lines are the same, overlapping each other.

Front

Solve the system using the Equal Values Method: y = 2x + 3, y = 4x - 1.

Back

(2, 7)

Front

Solve the system using the Equal Values Method: y = 5x + 2, y = 5x - 4.

Back

no solution

Front

Solve the system using the Equal Values Method: y = 3x + 1, y = 3x + 5.

Back

no solution

Front

What is the first step in solving a system of equations using the Equal Values Method?

Back

Set the two equations equal to each other.

Front

If y = 7x + 2 and y = 2x + 12, what is the solution?

Back

(2, 16)