Write each of the following as an equation in two variables:

(i) 2x = -3 (ii) y = 3 (iii) $5 x = \frac{7}{2}$

(iv) $y = \frac{3}{2} x$

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Solution

(i) Given equation, 2x = -3

The above equation can be written in two variables as,

2x + 0.y + 3 = 0

(ii) Given equation, y = 3

The above equation can be written in two variables as,

0.x + y – 3 = 0

(iii) Given equation, 5x = 7/2

The above equation can be written in two variables as,

5x + 0.y – 7/2 = 0

or 10x + 0.y – 7 = 0

(iv) Given equation, y = 3/2 x

The above equation can be written in two variables as,

2y = 3x

3x – 2y = 0

3x – 2y + 0 = 0

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