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This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. Beginning with the graphical solution of systems, this chapter includes an interpretation of independent, inconsistent, and dependent systems and examples to illustrate the applications for these systems. The substitution method and the addition method of solving a system by elimination are explained, noting when to use each method. The five-step method is again used to illustrate the solutions of value and rate problems (coin and mixture problems), using drawings that correspond to the actual situation.This module contains the proficiency exam for the chapter "Systems of Linear Equations".

Proficiency exam

( [link] ) Solve using graphing: { 3 x + 2 y = 4 15 x + 10 y = 10
An xy coordinate plane with gridlines, labeled negative five and five with increments of one unit for both axes.

inconsistent
A graph of two parallel lines. One line is labeled with the equation three x plus two y equals four and passes through the points zero, two and two, negative one. A second line is labeled with the equation fifteen x plus ten y equals negative ten and passes through the points zero, negative one and two, negative four.

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( [link] ) Solve using graphing: { 2 x 3 y = 2 x + 2 y = 8
An xy coordinate plane with gridlines, labeled negative five and five with increments of one unit for both axes.

( 4 , 2 )
A graph of two lines intersecting at a point with coordinates four, two. One line is labeled with the equation x plus two y equals eight and passes through the points zero, four.  A second line is labeled with the equation two x minus three y equals two and passes through the points zero, negative two over three and one, zero.

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( [link] ) Solve using substitution: { 2 x + 6 y = 16 x 4 y = 13

( 1 , 3 )

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( [link] ) Solve using addition: { 3 x + 8 y = 5 x 2 y = 3

( 1 , 1 )

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( [link] , [link] ) Solve using either substitution or addition: { 4 x 4 y = 8 x y = 5

inconsistent

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( [link] , [link] ) Solve using either substitution or addition: { 9 x + 3 y = 12 3 x y = 4

( 4 3 , 0 )

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( [link] ) The sum of two numbers is 43 and the difference of the same two numbers is 7. What are the numbers?

18 and 25

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( [link] ) A chemist needs 80 ml of an 18% acid solution. She has two acid solutions, A and B, to mix together to form the 80-ml solution. Acid solution A is 15% acid and acid solution B is 20% acid. How much of each solution should be used?

32  ml of solution A;   48  ml of solution B .

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( [link] ) A parking meter contains 32 coins. If the meter contains only nickels and quarters, and the total value of the coins is $ 4.60 , how many of each type of coin are there?

17 nickels and 15 quarters

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( [link] ) A person has $15,000 to invest. If he invests part at 8% and the rest at 12%, how much should he invest at each rate to produce the same return as if he had invested it all at 9%?

$ 11,250 at  8 % ;    $ 3 , 750  at  12 %

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Questions & Answers

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is the branch of biology that deals with the study of microorganisms.
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studies of microbes
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they make spores
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food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
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Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
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This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
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Examples of thermophilic organisms
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Give Examples of thermophilic organisms
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Prevent foreign microbes to the host
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they provide healthier benefits to their hosts
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They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
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cell is the smallest unit of life
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cell is the structural and functional unit of life
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is the fundamental units of Life
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There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
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Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
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part of a tissue or an organ being wounded or bruised.
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Binomial nomenclature
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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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