Question

2. Express the following linear equations in the form ax + by + c = 0 and indica values of a, b and c in each case: S 0 $ - 10 =0 (iii) -2x + 3y = 6 (iv) x = 3y (1) 2x + 3y = 9.35 (i) x - 10 = 0 5 (v) 2x = -5y (vi) 3x + 2 = 0 X (vii) y - 2 = 0 (viii) 5 = 27 g​

Answer 1

Answer:

(i) 2x+3y=9.35

(ii) x− 5y−10=0

(iii) −2x+3y=6

(iv) x=3y

(v) 2x=−5y

(vi) 3x+2=0

(vii) y−2=0

(viii) 5=2x

(i) 2x+3y=9.35

ˉ

⇒2x+3y−9.35

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