Question

Encontre x e y que determinam, em cada caso, a seguinte igualdade:

a) (x-2, 9) = (-2, y+3)

b) (5, y-1) = (x+5, -2)

c) (x-4, 9) = (-4, y+6)

d) (6, y-2) = (x+8, -2)

Answer 1

a) (x-2, 9) = (-2, y+3)

x - 2 = - 2
x = - 2 + 2
x = 0

9 = y + 3
9 - 3 = y
6 = y
y = 6

b) (5, y-1) = (x+5, -2)

5 = x + 5
5 - 5 = x
0 = x
x = 0

y - 1 = - 2
y = - 2 + 1
y = - 1

c) (x-4, 9) = (-4, y+6)

x - 4 = - 4
x = - 4 + 4
x = 0

9 = y + 6
9 - 6 = y
3 = y
y = 3

d) (6, y-2) = (x+8, -2)

6 = x + 8
6 - 8 = x
- 2 = x
x = - 2

y - 2 = - 2
y = - 2 + 2
y = 0