Question

Enter the value of n so that the expression (ny + 25.7) + (–45.2y + 13.9) is equivalent to (–33.7y + 39.6).

Answer 1

`n=11.5`

Explanation:

we have

`(ny+25.7)+(-45.2y+13.9)=(-33.7y+39.6)`

Group terms than contain the same variable in the left side of the equation

`(ny-45.2y)+(25.7+13.9)=(-33.7y+39.6)`

Combine like terms in the left side

`(ny-45.2y)+(39.6)=(-33.7y+39.6)`

Simplify

`ny-45.2y=-33.7y`

`ny=-33.7y+45.2`

`ny=11.5y`

Simplify the y

`n=11.5`