What are the coefficient of $x$ in the following expression ?
$4 x - 3 y, 8 - x + y,$ $y$ $^{2}$ $x - y, 2 z - 5 x z$

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Solution

In each expression we look for a term with x as a factor. The remaining part of that term is the coefficient of x.
S. No. Expression Term with factor $x$ Coefficient of $x$
(i) $4 x - 3 y$ $4 x$ $4$
(ii) $8 - x + y$ $- x$ $- 1$
(iii) $y$ $^{2}$ $x$ $- y$ $y^{2} x$ $y^{2}$
(iv) $2 z - 5 x z$ $- 5 x z$ $- 5 z$

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x y

x^{5} + 4 x^{2} + 3 x y + y^{2} + 13 x - 7 y x + 7 x^{3} - 2 x y + 5 y

x + 3 y = 5

4 x + 3 y = 8

x = 1

y = 2

4 x - 3 y + 5

x^{2} + y^{2}

x y + 3 y - 9

1 : x^{2} - 3 x^{2} y^{2} + x^{2} y^{2} - 2 x^{2} - 3 y^{2} + 12 x^{2} y^{2}

2 : (x^{2} - 2 x^{2}) + (- 3 x^{2} y^{2} + x^{2} y^{2} + 12 x^{2} y^{2}) - 3 y^{2}

3 : (- x^{2} + 10 x^{2} y^{2} - 3 y^{2})

x^{2} (1 - 3 y^{2}) + (x y^{2} - 2 x) - 3 y (y - 4 x^{2} y)

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