# Systems of equations

1.Solve the system of equations by graphing. Then classify the system

x +y=11

x - y=1

What is the solution of the system of equations? ____________________

(Type an ordered pair . Type N if there is no solution. Type R if the solution is all real number.)

Is the system consistent or inconsistent?

A.)___________inconsistent

B.)____________consistent

Are the equation dependent or independent

Dependent_______________

independent_______

Show graphing chart

https://brainmass.com/math/graphs-and-functions/solving-systems-of-equations-problem-202731

## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. Solve the system of equations by graphing. Then classify the system

x +y=11

x - y=1

What is the solution of the system of equations? ____________________

(Type an ordered pair . Type N if there is no solution. Type R if the solution is all real number.)

Is the system consistent or inconsistent?

A.)___________inconsistent

B.)____________consistent

Are the equation dependent or independent

Dependent_______________

independent_______

Show graphing chart

Solution:

Add the two equations, we will get

2x = 12

which gives x = 6.

Put this value of x in second equation, we will get

6 - y = 1

=> -y = -5

=> y = 5

What is the solution of the system of equations? ____________________

(Type an ordered pair . Type N if there is no solution. Type R if the solution is all real number.)

Answer: (6, 5)

Is the system consistent or inconsistent?

A.)___________inconsistent

B.)____________consistent

Answer: Consistent (A system is consistent if there is at least one solution.)

Are the equation dependent or independent

Dependent_______________

independent_______

Answer: Independent ( as there is one solution only)

Graph of system is shown below:

(see the attached file for graph)

Â© BrainMass Inc. brainmass.com December 24, 2021, 7:36 pm ad1c9bdddf>https://brainmass.com/math/graphs-and-functions/solving-systems-of-equations-problem-202731