Determine whether the equation determines y as a function of x and show work.1.) 7x+1=y^32.) 3y-xy=x^2
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Step 1 Solve for y
Well we must take the third root of both sides.
Since we do not get a unique y (because of the positive/negative), this is not a y as a function of x. (to be a function, it has to be one to one).
Solve for y
pull out an x on the left side
x(3-y)=x^2 (divide both sides by x)
3-y=x (subtract three from both sides)
-y=x-3 (divide by -1 to both sides)
Since we do get a unique y (because for every number, it will be a different kind of y), this is a y as a function of x. (since it is in fact one to one).
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