1)
5X + 2Y = 6.....1
-3X + 3Y = 5.....2
Despejando "Y" en 2
Y = (3X + 5)/3.....3
Sustituyendo en 1
5X + 2{(3X + 5)/3} = 6
5X + (6X + 10)/3 = 6
(6X + 10)/3 = 6 - 5X
6X + 10 = 3(6 - 5X)
6X + 10 = 18 - 15X
6X + 15X = 18 - 10
21X = 8
X = 8/21.....R/.
Remplazando "X" en 3
Y = (3X + 5)/3
Y = {3(8/21) +5}/3
Y = {24/21 +5}/3
Y = {8/7 +5}/3
Y = (43/7)/3
Y = 43/21.....R/.
2)
2X + Y = 6..........1
4X + 3Y = 14.......2
1 x (-2) : -4X - 2Y = -12
2 : 4X + 3Y = 14
------------------
Y = 2 .....R/.
Remplazando "Y" en 1
2X + 2 = 6
2X = 6 - 2
2X = 4
X = 4/2
X = 2 .....R/.
Espero haberte podido ayudar. Saludos desde Colombia.
