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Solving a system of linear equation in two variables

Express the f...

Question

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

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

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Solution

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

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

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

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

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

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

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Similar questions

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

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

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

(i) (ii) (iii) − 2x + 3 y = 6

(iv) x = 3y (v) 2x = − 5y (vi) 3x + 2 = 0

(vii) y − 2 = 0 (viii) 5 = 2x

a x + b y + c = 0

a, b

c

2 x + 3 y = 9.3 ¯ ¯ ¯ 5

x - \frac{y}{5} - 10 = 0

- 2 x + 3 y = 6

x = 3 y

2 x = - 5 y

3 x + 2 = 0

y - 2 = 0

5 = 2 x

(i) 2 x + 3 y = 9.35 (i i) x - \frac{y}{5} - 10 = 0 (i i i) - 2 x + 3 y = 6 (i v) x = 3 y

(v) 2 x = - 5 y (v i) 3 x + 2 = 0 (v i i) y - 2 = 0 (v i i i) 5 = 2 x

(i) 2 x + 3 y = 9.

(i i) x + \frac{y}{5} + 10 = 0

(i i i) 2 x + 3 y = 6

(i v) x = 3 y

(v) 2 x = 5 y

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