Express each of the following equations in the form ax

(i) 3x + 5y = 7.5

This can be expressed in the form $a x+b y+c=0$ as $3 x+5 y+(-7.5)=0$.

(ii) $2 x-\frac{y}{5}+6=0$

This can be expressed in the form $a x+b y+c=0$ as $2 x+\left(-\frac{1}{5}\right) y+6=0$

(iii) $3 y-2 x=6$

This can be expressed in the form $a x+b y+c=0$ as $2 x+(-3 y)+6=0$.

(iv) $4 x=5 y$

This can be expressed in the form $a x+b y+c=0$ as $4 x-5 y+0=0$

(v) $\frac{x}{5}-\frac{y}{6}=1$

This can be expressed in the form $a x+b y+c=0$ as $6 x-5 y=30$

(vi) $\sqrt{2} x+\sqrt{3} y=5$

This can be expressed in the form $a x+b y+c=0$ as $\sqrt{2} x+\sqrt{3} y+(-5)=0$