Answer:
[tex]6 - \frac{2}{5}\times x = 3y + 8x[/tex]
is a linear equation
Step-by-step explanation:
Given:
[tex]6 - \frac{2}{5}\times x = 3y + 8x[/tex]
For a equation to be linear it must be in the form of
[tex]ax + by = c[/tex]
Where a, b and c are constants.
The given equation on simplifying we get
[tex]6 - \frac{2}{5}\times x = 3y + 8x[/tex]
∴[tex]\frac{30 - 2x}{5} = 3y + 8x\\(30 - 2x) = 5\times (3y + 8x)\\30 -2x = 15y + 40x\\30 = 15y + 40x +2x\\42x +15y = 30[/tex]
Which is in the form of [tex]ax + by = c[/tex]
where [tex]a = 42\\b = 15\\c = 30[/tex]
Which is linear.
