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7z-3 equals 11 plus 3z?
7z - 3 = 11 + 3z ie 7z -3z = 11 + 3 4z = 14 z = 3.5 Check: (7 x 3.5) - 3; 11 + (3 x 3.5) 24.5 - 3 = 11 + 10.5 21.5 = 21.5 QED
What are integer coefficients?
5x + 3y = 7z 5, 3, and 7 are coefficients and they are integers, they are integer coefficients
What are all the factors of 7xyz?
The factors of 7xyz would include 1, 7, x, y, z, and any combination of these factors. Factors are numbers or variables that can be multiplied together to give the original number or expression. In this case, the factors of 7xyz would be all the numbers and variables that divide evenly into 7xyz without leaving a remainder.
Is it possible tofind three unknowns with two equations?
Answerno. A system with two equations and three variable is known as a parametric equation and can be simplified, generally, to one equation with two variables.You always need a number of equations equal to or greater than the number of variables you have to find any of the variables.If you have more varibles than equations you can eliminate a number of variables equal to the number of equations minus one.Edit: While this is correct, you can fudge an answer using a pseudoinverse. This minimizes one of the values, and then you can approximate the other two. Suppose you have:3x + 2y + 4z = 0x + 8y + 7z = 3You can call this A*b = y, whereA = [3,2,4;1,8,7]b = [x;y;z]y= [0;3]Then you can sayb=ay, wherea=A'(A*A')^(-1)' indicated the transpose, and ^-1 indicates the inverse.More explanation can be found at http://neurotheory.columbia.edu/~ken/math-notes/sabes.pdf
