<PRE><B>Question 508559</B>
solve the following systems by method of my choice.
#1 14x + 2y = 10
    x - 5y = 11
Use the 2nd equation for substitution
x = (5y + 11)
Replace x in the 1st equation
14(5y+11) + 2y = 10
70y + 154  + 2y = 10
70 + 2y = 10 - 154
72y = -144
y = {{{(-144)/72}}}
y = -2
use the 1s equation to find x
14x + 2(-2) = 10
14x = 10 + 4
14x = 14
x = {{{14/14}}}
x = 1
:
Check solutions in the 2nd equation
x - 5y = 11
1 - 5(-2) = 11
1 + 10 = 11
:
:
#2 2x + 3y= 12
   x -  y = 13
Multiply the 2nd equation by 3
2x + 3y = 12
3x - 3y = 39
---------------addition eliminates y, find x
5x = 51 
x = {{{51/5}}}
x = 10.2
use the 2nd equation to find y
10.2 - y = 13
-y = 13 - 10.2
-y = 2.8
y  = -2.8
:
Check solutions in the 1st equation
2x + 3y = 12
2(10.2) + 3(-2.8) = 12
20.4 - 8.4 = 12</PRE>