Question

Is 8x – 3y = 6 – 4x a linear equation

Answer 1

$8x-3y=6-4x\\8x-3y+3y+4x-6=6-4x+3y+4x-6\\12x-6=3y\\\frac{3y}{3}=\frac{12x-6}{3}\\y=4x-2$

Yes.

Answer 2

8x-3y = 6-4x
⇒ -3y= -8x-4x+ 6
⇒ -3y= -12x+ 6
⇒ y= (-12/-3)x+ 6
⇒ y= 4x+6

Because the equation has a formula of y=mx+b, the equation is a linear equation~