Question

express the following linear equation in the form ax + by+ c =0 and indicate the value of a, b, and c in each case: (i) y-2=0​

Answer 1

Answer:

(i) 2x+3y=9.3

5

ˉ

⇒2x+3y−9.3

5

ˉ

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

5

ˉ

(ii) x−

5

y

−10=0

Comparing the equation with ax+by+c=0

a=1,b=−

5

1

,c=−10

(iii) −2x+3y=6

⇒−2x+3y−6=0

Comparing the equation with ax+by+c=0

a=−2,b=3,c=−6

(iv) x=3y

⇒x−3y=0

Comparing the equation with ax+by+c=0

a=1,b=−3,c=0

(v) 2x=−5y

⇒2x+5y=0

Comparing the equation with ax+by+c=0

a=2,b=5,c=0

(vi) 3x+2=0

⇒3x+0y+2=0

Comparing the equation with ax+by+c=0

a=3,b=0,c=2

(vii) y−2=0

⇒0x+y−2=0

Comparing the equation with ax+by+c=0

a=0,b=1,c=−2

(viii) 5=2x

⇒−2x+0y+5

Comparing the equation with ax+by+c=0

a=−2,b=0,c=5

Answer 2

$\footnotesize \tt \bigstar \purple{ \: Solution:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{Standard \: form \: of \: linear \: equation \: in \: two \: variable}$

$\footnotesize \tt{ax + by+ c =0}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt\purple{1) \: y - 2 = 0}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt{On \: comparing \: it \: with \: standard \: form}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\footnotesize \tt \purple{Value \: of \: a = 0 \: , \: b = 1 \: and \: c = -2}$