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Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state.
3.6x + 2y = 8
2x - y = 6

4. 7x - 2y = 8
-14x + 4y = 8

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5. Solve the compound inequality. Give the graph or describe it.
x < 5 and x > 4

Please see the attached file for the complete solution.
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Solve system by the substitution method.

1. y = 2x - 6 (1)
y = x - 5 (2)
Substitute (2) to (1):

Move x terms to the left side,

Then y =x - 5 = 1 - 5 = - 4.
Solution: x = 1, y = - 4, (1, -4)

2. 7x - 4y = 26 (1)
y = x - 5 (2)
(2) to (1):

Then y = x - 5 = 2 - 5 = ...

Solution Summary

It shows how to solve the system of linear equation and compound inequality, respectively. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

(1) Does x = -5 satisfy the following compound inequality?
4 > -2(x+8) >= -6 AND 4 < 3x + 10 < 19
(2) Simplify the following compoundinequalityand express the result using interval notation:
7 < 3(x+2) + 10 < 25 AND 8 > 10 - 2x > 0
(3) Solve for x:
| x - 1/4 | =

1. Solve each system by graphing.
y = - 2/3 x
2x + 3y = 5
2. Solve each system by the substitution method. Determine whether the equations are independent, dependent, or inconsistent.
2x - y = 4
2x - y = 3
3. Write a system of two equations in two unknowns for each problem. Solve each system by substation.

One fundamental difference between a linearequationand a linearinequality lies in the number of possible solutions. A linearequation has a finite (limited) number of solutions while the linearinequality has a range (set) of solutions.
I need an example of an equationand an inequality that expresses the above difference

An inequality is a statement that is of one of the four forms: 1) ax+b<0; 2) ax+b<=0; 3) ax+b>0 and 4) ax+b>=0.
To solve a linearinequality such as "ax+b<0", we need to find all values of x so that ax+b<0 holds.
Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-

I need to graph the solution set to each compound inequality.
1. x > - 2 and x < 4 (Please note that this symbol < is underlined) sorry I don't know how to do the underlining.
I need to graph each compoundinequality for this problem
2. 3 - x < y + 2 or x> y + 5

1. Ture or false: The ordered pair (-1, 4) is a solution to the linearinequality:
-5x + 2y < = 13
2. We know that y varies directly with x, and y = 1.5 when x = 0.3. Write the linearequation relating the two variables in slope-intercept form.
3. choose the graph of the function f(x) = x^2 - 8x + 16

You are preparing for an upcoming sales meeting and need to create and compare various supply and demand graphs that show the break-even point for the company. You have already compared the graphs of linearequations with those of linear inequalities. Now you will make the same comparison with financial numbers.
Consider firs

1. Find an equation of the line with the given slope and containing the given point.
m =2/3, (8,7)
a. y = (2/3)x + 8
b. y = 2/3)x + 8
c. y = 5/3
d. y = (2/3)x + 5/3
2. Graph the linearinequality
x + y less than = _6

The techniques for solving linearequations andlinear inequalities are similar, yet different. Explain and give an example of both a linearequationand a linearinequality that demonstrates this difference.
1.) Solve and check the linearequation.
5x - 5 = 30
A) {30}
B) {34}
C) {11}
D) {7}
2.) Solve and check th