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Linear Equations in Two Variables
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07/07/2021 12:16 pm
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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) 3x + 2 = 0
(ii) y – 2 = 0
(iii) 5 = 2x
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07/07/2021 12:18 pm
(i) 3x + 2 = 0
The equation 3x + 2 = 0 can be written as,
3x+0y+2 = 0
Now comparing 3x + 0 + 2 = 0 with ax + by + c = 0
We get, a = 3
b = 0
c = 2
(ii) y – 2 = 0
The equation y–2 = 0 can be written as,
0x+1y+(–2) = 0
Now comparing 0x+1y+(–2) = 0with ax+by+c = 0
We get, a = 0
b = 1
c = –2
(iii) 5 = 2x
Re-arranging the equation, we get,
2x = 5
i.e., 2x–5 = 0
The equation 2x–5 = 0 can be written as,
2x+0y–5 = 0
Now comparing 2x + 0y – 5 = 0 with ax + by + c = 0
We get, a = 2
b = 0
c = -5