Question

Solve the equation: -7/10 = 3a/4 - 13/20?

Help pleaseeee! Thanks

Answer 1

Solving the equation
`-(7)/(10)=(3a)/(4)-(13)/(20)` we get:
`\mathbf{a=-(1)/(15) }`

Explanation:

We need to solve the equation:

`-(7)/(10)=(3a)/(4)-(13)/(20)`

And find the value of a

Solving the equation:
`-(7)/(10)=(3a)/(4)-(13)/(20)`

First we will be Switching sides

`(3a)/(4)-(13)/(20)=-(7)/(10)`

Now, for finding value of a we will be adding 13/20 on both sides

`(3a)/(4)-(13)/(20)+(13)/(20)=-(7)/(10)+(13)/(20)`

`(3a)/(4)=-(7)/(10)+(13)/(20)`

Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:

`(3a)/(4)=(-7*2+13)/(20)\\(3a)/(4)=(-14+13)/(20)\\(3a)/(4)=(-1)/(20)`

Now, multiply both sides by 4/3

`(3a)/(4)* (4)/(3) =(-1)/(20)* (4)/(3)\\a=(-1)/(5)* (1)/(3)\\a= (-1)/(15)`

So, solving the equation
`-(7)/(10)=(3a)/(4)-(13)/(20)` we get:
`\mathbf{a=-(1)/(15) }`