Systems of Equations by Graphing, Substitution, Adding or Subtracting

If y = 2x + 5 and x + 3y = 7, then x + 3(2x + 5) = 7 is an example of

• solving a system by graphing.

• solving a system by elimination.

• solving a system by substitution.

• solving a system by inverse operations

A system of equations that has a least one solution is

• Consistent

• inconsistent

• dependent

• independent

An ordered pair in a system that makes all equations true is

• consistent system

• system of linear equations

• solution of a system to linear equations

• independent system

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Each table represents (x,y) coordinates from two different equations of lines. The two lines are part of a system of equations. What is the solution of the system of equations?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Solve the system of equations via substitution or graphing:

y = 8x + 2

y = -x - 7

• (1, 10)

• (-1, -6)

• (2, 7)

• (9, 9)

Solve the system of equations via substitution or graphing:

x = 7 - 2y

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Each table represents (x,y) coordinates from two different equations of lines. The two lines are part of a system of equations. What is the solution of the system of equations?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Some of the values for two linear equations are shown in the tables below.

• ( -2, 4 )

• ( -2, -4 )

• ( -6, 10 )

• (10, 2 )