Question

Determine o conjunto solução dos sistemas de equação fracionária
2x+1
------ = 1
Y + 3

2
-------- = 1/y
X + 2

Answer 1

a) x =

$\frac{2x + 1}{y + 3} = 1$

2x + 1 = y + 3

2x = y + 3 - 1

2x = y + 2

$\frac{2x}{2} = \frac{y + 2}{2}$

$x = \frac{y + 2}{2}$

$x = \frac{y}{2} + 1$

y =

$\frac{2x + 1}{y + 3} = 1$

2x + 1 = y + 3

y + 3 = 2x + 1

y = 2x + 1 - 3

y = 2x - 2

y = 2x - 2 , y ≠ -3

b) x =

$\frac{2}{x + 2} = \frac{1}{y}$

y . 2 = x + 2

x + 2 = y . 2

x = y . 2 - 2

x = y . 2 - 2 , x ≠ -2

y =

$\frac{2}{x + 2} = \frac{1}{y}$

y . 2 = x + 2

2y = x + 2

$\frac{2y}{2} = \frac{x + 2}{2}$

$y = \frac{x + 2}{2}$

$y = \frac{x}{2} + 1$

$y = \frac{x}{2} + 1$

, y ≠ 0