Solve - 12x- 1y-1-0- 1x- 12y-8-x- 0-y- 0

1 2x 1 y +1=0 ⟶( i ) 1 x + 1 2y =8 ⇒ 1 2x + 1 4y =4 ⟶( ii ) (i) (ii) ⇒ 1 y ( 1 1 4 #160; ) = 1 4 ...

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Types of Inequalities

Solve : 12x...

Question

Solve : $\frac{1}{2 x} - \frac{1}{y} + 1 = 0; \frac{1}{x} + \frac{1}{2 y} = 8, x \neq 0, y \neq 0$

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(y - 1) (y - 3) (2 y - 1) = 0

Solve the following systems of inequations graphically:

(i) $2 x + y \geq 8, x + 2 y \geq 8, x + y \leq 6$

(ii) $12 x + 12 y \leq 840, 3 x + 6 y \leq 300, 8 x + 4 y \leq 480 x \geq 0, y \geq 0$

(iii) $x + 2 y \leq 40, 3 x + y \geq 30, 4 x + 3 y \geq 60, x \geq 0, y \geq 0$

(iv) $5 x + y \geq 10, 2 x + 2 y \geq 12, x + 4 y \geq 12, x \geq 0, y \geq 0$

\frac{1}{x} + \frac{2}{y} = 9; \frac{2}{x} + \frac{1}{y} = 12 (x \neq 0, y \neq 0)

\frac{1}{2 x} + \frac{1}{3 y} = 2 \frac{1}{3 x} + \frac{1}{2 y} = \frac{13}{6}

x^{2} + y^{2} + 6 x + 6 y = 0

x^{2} + y^{2} - 12 x - 12 y = 0

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