Question

-1/2u+3/5=1/6 What is u?

Answer 1

Hello, there today we will be solving your problem

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• 
  `u=(13)/(15)`

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Definitions

Multiplication - Multiplication, otherwise known as the inverse of division repeats a certain number's value into what it has been multiplied by. Ex.
`4\cdot4=16`

Fraction - A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

Algebra - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all mathematics

Reciprocal - In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by
`\frac{1}x` or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction
`\frac{a}b` is
`\frac{b}a`. For the multiplicative inverse of a real number, divide 1 by the number.

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Now we can solve this equation

1. Step one - Subtract:
   `-(1)/(2) u=(1)/(6)-(3)/(5)`
2. Step two - Simplify:
   `-(1)/(2) u=-(13)/(30)`
3. Step three - Multiply by the reciprocal of
   `-\frac{1}2`:
   `-(1)/(2)u\cdot -(2)/(1)=-(13)/(30)\cdot -(2)/(1)`
4. Step four- Simplify:
   `u=(13)/(15)`

Your answer is
`u=(13)/(15)`