Reduce each to the following parts of equations to a single equations in one var

Question

Reduce each to the following parts of equations to a single equations in one variable by addition or subtraction of equations then solve for x and y. 3x+6y =- 15 5x-3y = 1 -13y/13=24/13y=1.85 2x - 3y = - 1 x-2=-2 x-2y-2 2(2y-2)-3y=-1 3x=-by-15 x=-2y-5 (5x-2y-5)=1 -10y-25-3y=-1 4y-4-3y=-1 y-4=-1 y=3 5x-3(1-35)=1 5x-5.6=1 1 5x/5=6.6/5 Lambda=1.32 x=1.32 y=1.55 x=4 y=3 x-2(3)=-2 x-6=-2 x=4 On the graph provided draw pairs of lines representing the pairs of equations given in previous exercise 17(your choice a or b), and verify your solution. The following problems have a scientific context You do need to understand all the details, but you should be able to rearrange each of the given equations algebraically as directed. The location of the " " X. of a molecule consisting of two of masses m1 and m2 is given by (m1+m2)X = m x + m2x2 where x and the position of the atoms x1 and x2 are measured from some common Origin find m1 in terms of the other quantities.

Explanation / Answer

(m1+m2)Xcm=m1x1+m2x2

m1Xcm+m2Xcm=m1x1+m2x2

m1Xcm-m1x1=m2x2-m2Xcm

m1(Xcm-x1)=m2(x2-Xcm)

m1=m2(x2-Xcm)/(Xcm-x1)

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