Question

Express the following linear equations in the form $ax+by+c=0$ and indicate the values of a, b and c in each case:

(i) $-2x+3y=12$ (ii) $x-\frac{y}{2}-5=0$ (iii) $2x+3y=9.35$

(iv) $3x=-7y$ (v) $2x+3=0$ (vi) $y-5=0$

(vii) $4=3x$ (viii) $y=\frac{x}{2}$

Answer 1

(i) $-2x+3y=12$

$\Rightarrow -2x+3y-12=0\text{Here}a=-2,b=3,c=-12$

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

$\text{Here}a=1,b=-\frac{1}{2},c=-5$

(iii) $2x+3y=9.35$

$\Rightarrow 2x+3y-9.35=0\text{Here}a=2,b=3,c=-9.35$

(iv) $3x=-7y$

$\Rightarrow 3x+7y+0=0\text{Here}a=3,b=7,c=0$

(v) $2x+3=0$

$\Rightarrow 2x+0y+3=0\text{Here}a=2,b=0,c=3$

(vi) $y-5=0$

$\Rightarrow 0x+y-5=0\text{Here}a=0,b=1,c=-5$

(vii) $4=3x$

$\Rightarrow 3x-4=0\Rightarrow 3x+0y-4=0\text{Here}a=3,b=0,c=-4$

(viii) $y=\frac{x}{2}$

$\Rightarrow \frac{x}{2}-y+0=0\Rightarrow x-2y+0=0\text{Here}a=1,b=-2,c=0$