Get Help with Questions: Explaining Solutions

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r-soy
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hi

help me in these questions

I want to explain the solution to these questions

How do we get the result ?
 
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  • Handwritten working on lined paper: part 1 rearranges y = 3 - 2/x to x = -2/(y-3), and part 2 rearranges y = (1/5)x to x = 5y, with final answers boxed in red.
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It's pretty much basic algebra. The first equation is y= 3- 2/x and I guess the problem is to solve for x. First subtract 3 from both sides: y- 3= -2/x. Divide both sides by -2 to get (y- 3)/(-2)= 1/x. Now take the reciprocal of both sides: -2x/(y- 3)= x.

The second equation is y= (1/5) x. Okay, since x is divided by 5 and you want to solve for x, do the "opposite"- multiply both sides by 5: 5y= x.