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Math

Define the following terms and give examples:
solutions
system of linear equations
Determine whether ordered pair is a solution of the system of linear equations:
x + y = 8
3x + 2y = 21
(2, 4) b. (5, 3)
Solve system of linear equations by graphing:
x + y = 4
x – y = 2
Solve system of linear equations by the substitution method:
y = 3x + 1
4y – 8x = 12
How do you solve a system of two linear equations when using the addition method?
Solve this system of equations by the addition method:
4x + y = 13
2x – y = 5
Write a system of three linear equations in three variables that has (2, 1, 5) as a solution. Explain the process you used to write your system.
List the steps for Problem-Solving.

Sample Solution

prokaryotes) [REF Behrman EJ, 2005 8] and derived via the mevalonate (MVA) pathway. The MVA is a fundamental metabolic network providing essential elements for normal cellular metabolism and executed in the endoplasmic reticulum (ER) and cytoplasm of a cell. Despite the presence of MVA pathway in almost all animal cells, the contribution per organ differs. The human brain generates vast amounts of de novo synthesized cholesterol, approximately 20% of the total cholesterol pool and primary FC, mainly found in myelin sheaths that insulate axons [REF dietschy turley 2004 9]. Moreover, the hepatic contribution to the cholesterol pool derived from de novo synthesis varies per species, hepatic cells in mice contribute approximately 40% to the whole cholesterol synthesis, while human liver cells adds only 10% to the total pool [REF Dietschy turley 2001 10 REF 30 Goedeke ]. The MVA-pathway is a highly controlled enzymatic process, resulting in the stepwise formation of FC [REF reviewed by 11 tricarico 2015 16067-16084]. The newly formed cellular cholesterol is either directly used as a precursor for metabolites (bile acids, steroids, water soluble vitamins, included in the membrane) or converted towards CE by acyl-Co A acyl transferase (ACAT) and either effluxed towards the plasma compartment or stored in lipid droplets [REF 12 35 goedeke]. The stored CE within lipid droplets can be converted into FC by hormone sensitive lipase (HSL)[REF]. Since appropriate cellular cholesterol levels are critical for normal cell metabolism, the regulation of intracellular cholesterol levels are tightly controlled by feedback mechanisms that operate at both transcriptional as well as post-transcriptional levels [REF goedeke 10.11]. Low cellular cholesterol triggers the MVA-pathway to upregulate the activation of the rate limiting enzymes i.a. 3-hydroxy-3methylgkutaryl (HMGCR) [REF] and receptor mediated exogenous uptake [REF]. High cellular cholesterol levels activate nuclear hormone receptors that in turn trigger transcription of cholesterol efflux related genes i.a. AB
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