Determine whether the equation is linear in the variables x

Determine whether the equation is linear in the variables x and y.

Determine whether the equation is linear in the variables x and y. 3/y + 4/x - 1 =0

Solution

3/y + 4/x - 1 = 0

adding 1 on both sides

3/y + 4/x = 1

multiplying both sides by yx

3x + 4y = yx

a linear equation is always in the form of y = mx+b

in this equation we are getting a term yx together

hence this equation is not linear