Systems of Equations and Inequalities and Absolute Values

How do you solve by the substituation method?
x=y+3
3x-2y=4

would it be inconsistent, independent or dependent?

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word problem

Ziggys famous yogurt blends regular yogurt that is 3%
fat with its no-fat yogurt to obtain lowfat yogurt that os 1% fat.
How many pounds of regular yogurt and how many pounds of no fat yogurt should be mixed to obtain 60 lbs of low fat yogurt?
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how do you graph and solve this absolute value inequality?
1/3|2x-1|<1

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how do you graph this compound inequality?

3-x<y+2 or
x>y+5

Solution Summary

Systems of equations and inequalities and absolute values are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Please see the attached document for proper formatting of these questions.
Thanks.
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Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent.
1. y= 2x-1
x+y = 2
2. 3x - y = 4
3x - y = 0
Solve each system by substitution method.

1. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)
2x - y = 3
2y = 4x - 6
2. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)
y = 3(x - 4)
3x - y = 12
3. (Solve sy

Please see the attached file for the fully formatted problems.
9. Simplify using FOIL
Solve the inequalities
3. |x - 4| < 5
A -1 > x > 5
B -5 < x< 5
D x > 9
E -1 < x < 9
F -4 > x > 4
4. |x - 2| > = 3
B -1 > x > 5
C x > 3
D x < -1 or x > 5
E x < 2 or x > 3

I need to know how to graph the following inequalities:
3x + y = or <5
x-y= or <2
y= or >5
Solve the system by graphing:
x-y=2
3x-3y=6
3x-y=1
3x-y=2
Solve the system of linear inequalities by graphing:
x-2y= or <4
x->1

1.) How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities 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

Set 5
#22
The addition method. Solve each by addition
2x = 2 - y
3x + y = -1
#26
Solve each by addition method. Determine whether the equations are independent, dependent or inconsistent
X - y = 3
-6x + 6y = 17
#30
-3x + 2y = 8
3x + 2y = 8
#36
Equations involving fractions or decimals. Solve each syste

What is the best method for solving absolute value inequalities?
The first most important part about solving absolute value inequalities is to understand that there are two types of inequalities. These are |ax+b|c. These inequalities have totally different solutions. This is because of the difference between the t

Solve each absolute value inequality and graph the solution set.
32) |5x - 1| ½ |6-x| - 3/4
Graph each compound or absolute value inequality
42) x+y 8 and x - 2y < 10
46) |x-3| >/= 9

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. Linear inequalities will be used to graph conditions where the