Solving Linear Systems of Equations and Inequaities (9 Problems)

1. (5 pts) The equation of the horizontal line passing through (1, -5) is _______
A. x = 1
B. y = 1
C. x = -5
D. y = -5

2. (5 pts) The standard form of the inequality x - 4y 12 is _______

A. y> - ¼ x + 3

B. 4y < x - 12

C. y< ¼ x - 3

D. y> ¼ x - 3

3. (5 pts) Which of the following points satisfies the linear inequality 3x - y 10? _______

A. (2, -1)
B. (3, 0)
C. (4, 3)
D. (5, 4)

4. (5 pts) Which of the following equations does the graph represent? _____
A. y = 2x + 1
B. y = (1/2)x 1
C. y = (1/2)x + 1
D. y = 2x - 2

5. (5 pts) The unshaded (white) portion of the graph is the solution set of which inequality? ______
A. y 2x + 4
B. y 2x + 4
C. y 2x 4
D. y 2x 4

6. (5 pts) Which of the following points is in the feasible set of the system of inequalities?
y >0
x + y < 7
2x + y < 9
A. (1, 5)
B. (3, 4)
C. (4, -6)
D. (5, 1)

7. (5 pts) Which of the following is TRUE about the line through the points (2, 5) and
(2, 7)? _______

A. The slope is undefined.
B. The slope is negative.
C. The slope is 0.
D. The slope is positive.

8. (5 pts) What is the equation of a line having slope 5 and passing through the point
(3, 7)? ______

A. y = 3x 2
B. y = 5x 8
C. y = 5x 2
D. y = 5x 

SECTION 2.1 # 36......PAGE 68 (CHAPTER 2)

9. Solve the linear system by using the GAUSSIAN elimination method. (SHOW ALL WORK)

1) Solve by the addition method.
3x + 2y = 14
3x - 2y = 10
2) Solve by the addition method
5x = 6y + 50
2y = 8 - 3x
3) Solve. Identify systems with no solution andsystems with infinitely many solutions, using set notation to express their solution sets.
4) Can't type fractions, so

4x+y=12 (1)
x-y=8(2)
4x+y=12
x-y=8
5x/5 = 20/5
X=4
4(4) =y - 12
16+y = 12
Y =4
I think this would be an example of elimination method for solving a system of equations however I am unsure how it would transfer to substitution method thus I am needing assistance. I am needing this to be illustrated if you wi

Please help with the following problems.
There are three methods to solvingLinearSystems with two Equations. They are the Graph method, the Elimination method, and the Substitution method. When would you use each method? What makes each method better than the other methods?

The techniques for solvinglinearequationsandlinear inequalities 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

Solve the following linear system using Gaussian elimination.
Show work.
2y + z = 4
x+ y +z = 6
2x + y + z = 7
Solve the following linear system for x using Cramer's rule.
Show work.
4x - y + z = -5
2x + 2y + 3z = 10
5x - 2y + 6z = 1

Please see the attached files for the fully formatted problems.
1. Given the equation below, find f(x) where y = f(x).
8y(6x - 7) - 12x(4y + 3) + 265 - 5(3x - y + 2) = 0.
2. Solve these linearequations for x, y, and z.
3x + 5y - 2z = 20; 4x - 10y -z = -25; x + y -z = 5
3. The value of y in Question 2 lies in the ran

Write one or two paragraphs comparing and contrasting all methods of solvingsystems of linearequations with two variables. Explain which method you prefer and why. Support your answer by providing appropriate examples.