Question

Consider the equation . x-3=2 1/2

(a) List the three related equations
(b) Choose the related equation that isolates the variable and simplify.

Answer 1

Explanation:

We have been given an equation:

`x-3=2(1)/(2)`

(a) Related equation means the equation that are equivalent to the given equation.

We can shift 3 on the right hand side of the equation:

(1)
`x=3+2(1)/(2)`

We can solve the mixed fraction
`2(1)/(2)=(5)/(2)` we get.

(2)
`x=3+(5)/(2)`

We can solve the right hand side of the equation
`x=3+(5)/(2)` we get:

(3)
`x=(11)/(2)`

Hence, above three expressions are the related equations of the given equation.

(b) We have to find the related equations that isolates the variable and simplify.

So, basically we can solve for x.

`x=2(1)/(2)+3`

`x=1+3`

`x=4`.