Question

Express the following linear equations in the form of ax + by + c = 0 and indicate the values of a, b and c in each case:
y = 2​

Answer 1

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=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

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Answer 2

Answer:

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Explanation:

(i) Given equation, -2x + 3y = 12 Or – 2x + 3y – 12 = 0 Comparing the given equation with ax + by + c = 0 We get, a = – 2; b = 3; c = -12

(ii) Given equation, x – y/2 – 5 = 0 Comparing the given equation with ax + by + c = 0, We get, a = 1; b = -1/2, c = -5

(iii) Given equation, 2x + 3y = 9.35 or 2x + 3y – 9.35 = 0 Comparing the given equation with ax + by + c = 0 We get, a = 2 ; b = 3 ; c = -9.35 (iv)

Given equation, 3x = -7y or 3x + 7y = 0 Comparing the given equation with ax+ by + c = 0, We get, a = 3 ; b = 7 ; c = 0

(v) Given equation, 2x + 3 = 0 or 2x + 0y + 3 = 0 Comparing the given equation with ax + by + c = 0, We get, a = 2 ; b = 0 ; c = 3

(vi) Given equation, y – 5 = 0 or 0x + y – 5 = 0 Comparing the given equation with ax + by+ c = 0, We get, a = 0; b = 1; c = -5

(vii) Given equation, 4 = 3x or 3x + 0y – 4 = 0 Comparing the given equation with ax + by + c = 0, We get, a = 3; b = 0; c = -4 (viii) Given equation, y = x/2 Or x – 2y = 0 Or x – 2y + 0 = 0 Comparing the given equation with ax + by + c = 0, We get, a = 1; b = -2; c = 0