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symbolic algebra : The symbolic manipulations supported typically include: simplification to the smallest possible expression or some ..... More from Wikipedia
symbolic algebra : These computer algebra systems are sometimes combined with "front end" programs ... Computer Algebra System for mathematical expressions in symbolic form. ..... More from Wikipedia
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A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..
Framing of Formulae
We use alphabets like x, y, z etc., to denote variables. For example the length of a rectangle is denoted by 'l'. It takes different values in different rectangles. A formula is a relation between different variables formed using mathematical symbols. Any given condition can be translat..
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What algebra is used by police to calculate speeding fines? Can algebra provide a useful tool in helping our environment? Algebra: Language for a Changing World is an overview of the most essential early concepts in Algebra. Interesting real world contexts and worked problems using real data introduce input and output variables, symbolic and graphical representation, order of operations, and linear relationships. This half-hour program includes a user's guide with reproducible student ...
Question : Solve the system of equations using symbolic manipulation!
1.
x + y = 6
x - y = 12
2.
2.5x + y = 11
3.5x + 2y =13 i already tried it like 10 thousand times, but i got a different answer every time that would only work with one of the equations instead of both. it's also called the substitution method, but my teacher decides to call it "symbolic manipulation" for no apparent reason they would each be two numbers. or like a point on a graph. like (a, b)
Answer : Hi: easy and since you didn't ask for the step by step explaination number 1 x + y = 6 x - y = 12 x + y = 6 x - y = 12 ---------------- - Addition of terms 2x= 18 1/2*2x= 18* 1/2 x = 18/2 x =9 slove for y x + y = 6 x - y = 12 x + y = 6 (-1)x - y = 12(-1) x+y =6 -x+y= -12 --------------- - 2y = -6 1/2* 2y = -6 * 1/2 y =-6/2 y= -3 proof : x + y = 6 x - y = 12 9-3= 6 9-(-3) = 12 9-3 =6 9+3= 12 6 = 6 12 = 12 it equals and checks Number 2 : let slove for x 2.5x + y = 11 3.5x + 2y =13 (-2)2.5x + y = 11(-2) 3.5x + 2y =13 -5x-2y = -22 3.5x+2y= 13 --------------------- -1.5x = -9 -1/1.5 * 1.5x = - 9*- 1/1.5 x = -9/ -1.5 x = 6 Let solve for y (3.5)2.5x + y = 11(3.5) (-2.5)3.5x + 2y =13( -2.5) 8.75x + 3.5y = 38.5 -8.75x -5y = - 32.5 --------------------------- -1.5y = 6 1/-1.5 *-1.5 y = 6* -1/1.5 y = 6/-1.5 y =.... More from Yahoo Answers
Answer : Hi: easy and since you didn't ask for the step by step explaination number 1 x + y = 6 x - y = 12 x + y = 6 x - y = 12 ---------------- - Addition of terms 2x= 18 1/2*2x= 18* 1/2 x = 18/2 x =9 slove for y x + y = 6 x - y = 12 x + y = 6 (-1)x - y = 12(-1) x+y =6 -x+y= -12 --------------- - 2y = -6 1/2* 2y = -6 * 1/2 y =-6/2 y= -3 proof : x + y = 6 x - y = 12 9-3= 6 9-(-3) = 12 9-3 =6 9+3= 12 6 = 6 12 = 12 it equals and checks Number 2 : let slove for x 2.5x + y = 11 3.5x + 2y =13 (-2)2.5x + y = 11(-2) 3.5x + 2y =13 -5x-2y = -22 3.5x+2y= 13 --------------------- -1.5x = -9 -1/1.5 * 1.5x = - 9*- 1/1.5 x = -9/ -1.5 x = 6 Let solve for y (3.5)2.5x + y = 11(3.5) (-2.5)3.5x + 2y =13( -2.5) 8.75x + 3.5y = 38.5 -8.75x -5y = - 32.5 --------------------------- -1.5y = 6 1/-1.5 *-1.5 y = 6* -1/1.5 y = 6/-1.5 y =.... More from Yahoo Answers
Question : Can someone please explain it to me, giving an example? I've had two symbolic logic courses, but I don't know what "generators" or "groups" mean, in this context.
Answer : The notion of a group belongs to algebra rather than logic, so I would suggest that you take a proper algebra course. But the basic idea is that a group is a set equipped with a "multiplication" operation that satisfies a couple of axioms (associativity, existence of an identity, existence of inverses). So for example the integers are a group with respect to addition (I know I called it multiplication before, but any binary operation will do) because it is associative, there is an additive identity (zero) and there are additive inverses (negative numbers). But they do not form a group with respect to multiplication because though multiplication is associative and 1 is the multiplicative identity element, the integers don't contain multiplicative inverses for very many of its elements. One important example of a group, and the one relevant to your question, is an object called a free group. Take a set S, and define the "free group whose generator set is S" to be the set of all "w.... More from Yahoo Answers
Answer : The notion of a group belongs to algebra rather than logic, so I would suggest that you take a proper algebra course. But the basic idea is that a group is a set equipped with a "multiplication" operation that satisfies a couple of axioms (associativity, existence of an identity, existence of inverses). So for example the integers are a group with respect to addition (I know I called it multiplication before, but any binary operation will do) because it is associative, there is an additive identity (zero) and there are additive inverses (negative numbers). But they do not form a group with respect to multiplication because though multiplication is associative and 1 is the multiplicative identity element, the integers don't contain multiplicative inverses for very many of its elements. One important example of a group, and the one relevant to your question, is an object called a free group. Take a set S, and define the "free group whose generator set is S" to be the set of all "w.... More from Yahoo Answers
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