Systems of Equations: Equal Values Method Flashcard

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

What is the Equal Values Method?

Back

A method for solving systems of equations by setting the expressions for y equal to each other.

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point where the graphs of the equations intersect.

Front

What is the solution to the system of equations: y = 6x - 4 and y = 2x + 2?

Back

The solution is x = 2, y = 8.

Front

What is the solution to the system of equations: y = 3x - 2 and y = 5x + 1?

Back

The solution is x = -3, y = -11.

Front

What is the solution to the system of equations: y = 2x + 3 and y = 4x - 1?

Back

The solution is x = 2, y = 7.

Front

What is the solution to the system of equations: y = 4x + 3 and y = 2x - 5?

Back

The solution is x = -4, y = -13.

Front

What does it mean for a solution to be an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on the coordinate plane.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).