Linear Equations and Systems of Linear Equations

Using the slope and y-intercept, tell whether the system of equations are consistent and independent, consistent and dependent, or inconsistent.

• consistent and independent

• consistent and dependent

• inconsistent

The solution to a system of linear equations in two variables is an ordered pair that makes both equations.

• True

• False

A ______ refers to two or more linear equations involving two unknowns, for which, values are sought that are common solutions of the equations involved.

The solution to a system of linear equations in two variables is an _____ that makes both equations true.

The system of equations is called if the slopes of the lines defined by the equations are equal and their y-intercepts are also equal.

Determine which of the following ordered pairs would satisfy the given system of linear equations in two variables.

• (0, 2)

• (1, 3)

• (2, 5)

• (-2, 0)

Determine which of the following ordered pairs would satisfy the given system of linear equations in two variables.

• (0, -4)

• (1, 3)

• (2, -1)

• (4, 2)

Determine which of the following ordered pairs would satisfy the given system of linear equations in two variables.

• (1, -3)

• (0, 1)

• (-1, 6)

• (2, -7)

Determine which of the following ordered pairs would satisfy the given system of linear equations in two variables.

• (-3, -5)

• (-2, 1)

• (4, 3)

• (1, -4)

Which of the following system of equations is consistent and independent?

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