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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Similar questions

5 x = \frac{7}{2}

y = \frac{3}{2} x

x + y = 4

x - y = 2

y = 3 x

3 = 2 x + y

Determine the degree of each of the following polynomials.

(i) $\frac{4 x - 5 x^{2} + 6 x^{3}}{2 x}$

(ii) $y^{2} (y - y^{3})$

(iii) $(3 x - 2) (2 x^{3} + 3 x^{2})$

(i) x + y = 4 (i i) x - y = 2 (i i i) y = 3 x (i v) 3 = 2 x + y

Write two solutions for each of the following equations:

(i) $3 x + 4 y = 7$ (ii) $x = 6 y$ (iii) $x + π y = 4$ (iv) $\frac{2}{3} x - y = 4$

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