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 linear equations relate to the number of solutions to the system? How could you

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

The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year old female with a height of 160 centimeters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in term

The techniques for solving linear equations andlinearinequalities 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

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

1) In what fundamental way does the solution set of a system of linear equations 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 linear equations. How does this dif

1.) How many solution sets do systems of linearinequalities have? Must solutions to systems of linearinequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
2.) Do the equations x = 4y + 1 and x = 4y - 1 have the same solution? How might you explain your answer to someone w

Background:
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linear equations. Linearinequalities will be used to graph conditions where the

1. Graph the equation using the slope and the y-intercept,Y= 7/5x+5
2. Solve, -0.6x < -30
3. Graph the equation of y+ x =10 and identify the y-intercept
4. Graph the system of inequalities ; y ≥ -1 and x ≥ 6
5. Solve, -6x > 1/13
6. Solve, -8 ≤ 4x -7 ≤ 2
7. Solve, the length of a rectangle is fixed at 30cm. What wid

1.What is the situation when two linearinequalities have no solution?
2.What are the conditions when the solution of a system of linearinequalities will be in the first quadrant?
3.Why is it true that at x-intercept, the value of y is 0, and at y-intercept, the value of x is 0?