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Solve for x and y using these simultaneous equations: 2x + 3y = 21, y = 2x - 1

Substitute y = 2x - 1 into the first equation. 2x + 3(2x -1) = 21 2x + 6x - 3 = 21 8x = 24 x = 3 Therefore y = 2(3) - 1 = 5
AL
Answered by Alexandra L. • Maths tutor
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factorise x^3 + 3x^2 - 13x - 15

For convience we can call the polynomial f(x). Using the fact that the product of the roots of a polynomial equals the constant term, we know that the product of the roots is -15. We can therefore guess a ro...
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Answered by Ben I. • Maths tutor
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A chemist has 3 beakers, each containing a pure sample of acetone (2-propanone), isopropanol (2-propanol) and propanal. Using chemical techniques, suggest how the chemist may be able to determine which beaker contains which sample. [4]

Brady's reagent is an orange solution of 2,4-dinitrophenylhydrazine which reacts with carbonyl containing functional groups to produce an orange precipitate (2,4-dinitrophenylhydrazone derivative of the carb...
SM
Answered by Stephen M. • Chemistry tutor
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Explain the meaning of ratio decidendi in the doctrine of precedent. Illustrate your answer by reference to a relevant civil law or criminal law case.

The doctrine of precedent stipulates that, unless they clash with statute, decisions of the highest court with respect to a specific legal matter, are bound upon lower courts, as well as the courts in which ...
MD
Answered by Manos D. • Law tutor
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State and explain two factors in porters five forces framework

Porter’s five forces framework assesses market competitiveness and profitability. The five factors included in porters five forces are threat of new entrants, bargaining power of suppliers, bargaining power ...
ED
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