Question

6 - 2/5 * x = 3y + 8x Is nonlinear or linear

Answer 1

`6 - (2)/(5)* x = 3y + 8x`

is a linear equation

Explanation:

Given:

`6 - (2)/(5)* x = 3y + 8x`

For a equation to be linear it must be in the form of

`ax + by = c`

Where a, b and c are constants.

The given equation on simplifying we get

`6 - (2)/(5)* x = 3y + 8x`

∴
`(30 - 2x)/(5) = 3y + 8x\\(30 - 2x) = 5* (3y + 8x)\\30 -2x = 15y + 40x\\30 = 15y + 40x +2x\\42x +15y = 30`

Which is in the form of
`ax + by = c`

where
`a = 42\\b = 15\\c = 30`

Which is linear.