Ecuaciones Lineales

1. 6x-5y=-9
4x+3y=13
Y= -9+6x-5 Y=13+4x3
3(-9+6x)=-5(13+4x)
-27+18x=-65+20x
18x-20x=-65+27
-2x=38X=38-2 X= -19
Y=-9+6(-19)-5 Y=-9 +114-5 y= -21

Comprobación:
6(-19)-5(-21)
-114+105=-9

2.- 7x-15y=1
-x-6y= 8x=1+15y7 x=13-3y4
[1+15y7=8+6y-1] =7(8+6y)= -1(1+15y) =56+42y= -1-15y = 42y+15y = -1-52 = 57y=-57 y= -5757 y=-1
X=1-15y7 = 1-15(-1)7= = 1-157 = -147 =-2
COMPROBACION:
7(-2)-15(-1)=1 -14+15=1 1=1
-(-2)-6(-1)=8 2+6=8 8=83. 3x-4y=41
11x+3y=-47

-4y=41+3x 6x=47+11x
y= 41+3x-4 =y=47+11x6
6(41+3x)=-4(47+11x)
246++18x=-188-44X44X+18X=-188-246
62X=-434 X=-43462 X=7
41+3(7)-4 41-21-4 y=-5
Comprobación:
3x-4y=41
3(7)-4(-5)
21+20=41

4.-9x+11y=-14
6x-5y=-34x=-14-11y9 x=-36+5y6
[-14-11y9= -36+5y6] =6(-14-11y) = 9(-36+5y) = -84-66y = -306+45y =-66y-45y=-306+84 =-111y=-222 y=-222-111 = 2
x=-14-11y9 =-14-11(2)9 = -14-229 = -369 = -4
Comprobación:
9(-4)+11(2)=-14 -36+22=-14 -14=-14
6(-4)-5(2)=-34 -24-10=-34 -34=-34

5.10x-3y=36
2x+5y=-4

10x=36-3y 2x=-4+5y

36-3y10 = -4+5y2

2(36-3y) = 10(-4+5y)
72-6y = -40+50y
-50y-6y =-40-72
-56y = -112
Y= -11256 Y=-2

2x-5(-2)=-42x+10=-4
2x=-4-10
X=142
X=-7
Comprobación:
2x-5y=-4
2(-7)-5(-2)
-14+10=-4

6.- 11x-9y=2
13x-15y=-2
x=2+9y11 x=-2+15y13
[x=2+9y11...