Please see the attached file for detailed solutions and graphs.

2. When two line are ...

Solution Summary

The solution is comprised of detailed explanations using graphing as a tool to solve the system of linear equations and linear inequalities. Furthermore, the solution explains the line equations and how to determine the perpendicular and parallel lines from the line equations.

1) For the equations, you are learning several methods of finding the solution to a system. Is there a difference in the result you get using an algebraic method and what you get using a graphical method? Why or why not? How does the graph of two linearequations relate to the number of solutions to the system? How could you

1) In what fundamental way does the solution set of a system of linearequations differ from the solution set of a system of linearinequalities? Give examples. Discuss the important implications arising from this difference.
2) In your own words explain what is meant by a dependent system of linearequations. How does this dif

The techniques for solvinglinearequationsandlinearinequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
1.) Solve and check the linear equation.
5x - 5 = 30
A) {30}
B) {34}
C) {11}
D) {7}
2.) Solve and check th

1. The surface area S of a right prism is given by S = 2B + Ph.
B is the area of the base.
P is the perimeter of the base.
And h is the height of the prism. Solve for B.
2. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
3. The sum of two numbers is grea

1. How do solvinglinearinequalities differ from solvinglinearequations?
2. What is the difference between identity, conditional, and inconsistent equations? Support your answer with an example of each.
3. What is the necessary condition for the following fraction to be valid? What value(s) of "x" that cannot be used

Solve the following system of linearinequalities by graphing.
3x+4y is less than or equal to 12
x+3y is less than or equal to 6
x is greater than or equal to 0
y is greater than or equal to 0

Why should we clear fractions when solvinglinearequationsandinequalities? Demonstrate how this is done with an example.
Why should we clear decimals when solvinglinearequationsandinequalities? Demonstrate how this is done with an example.
Post one other example (either fraction or decimal) for classmates to solve

1. Find the solution to the following system of linearequations:
3x + 4y = -8
y = -5x - 7
2. My friend is driving 55 mph, West, on Interstate 90 and he started from his home which is 75 miles west of mine. I leave at the same time, traveling West at a speed of 73 mph. Write 2 linearequations (one for me and one fo

Question 1: Solve these linearequations for x, y, and z,
3x + 5y - 2x = 20
4x - 10y - z = -25
x + y - z = 5
the value of x is in the range
(1) -4 <= x <= -3
(2) -2 <= x <= 0
(3) 0 <= x <= 2
(4) 2 <= x <= 4
Note: "<=" means "less than or equal to"
Question 2: The value of y in Question 1 above lies in the range