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 is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the solution to the system: y = 6x + 3 and y = 4x - 15?

Back

(-9, -51)

Front

What does it mean for a point to be a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

What is the first step in using the Equal Values Method?

Back

Set the two equations equal to each other.

Front

If y = 3x + 2 and y = x - 4, what is the solution?

Back

(3, 11)

Front

What is the significance of the solution to a system of equations?

Back

It represents the point where the two lines intersect on a graph.

Front

How can you verify if a point is a solution to a system of equations?

Back

Substitute the point into both equations and check if both are true.

Front

What is the solution to the system: y = -x + 5 and y = 2x - 1?

Back

(2, 3)