Algébra IME

por RamonLucas 19/12/2016, 6:05 pm

No sistema : $\left\{\begin{matrix} \frac{y-1}{2}+\frac{3-2y}{5}-\frac{x-8}{11}=\frac{100-x}{110} & & \\ & & \\ \frac{5x-1}{6}+\frac{4y-5x}{10}=\frac{3y-8x}{4}-\frac{71-4x}{30} & & \end{matrix}\right.$

o valor de x é :

a) -1 b) 3/4 c) -3/2 d) 4/3 e) 3/2

por EsdrasCFOPM 19/12/2016, 6:34 pm

(y-1)/2+(3-2y)/5-(x-8 )/11-(100-x)/110=0
(5x-1)/6+(4y-5x)/10-(3y-8x)/4+(71-4x)/30=0

MMC

2,5,11,110|2
-1,5,11,55|5
-1,1,11,11|11
---1,1,1,1|

2x5x11=110

[55(y-1)+22(3-2y)-10(x-8 )-(100-x)]/110=0
[55y-55+66-44y-10x+80-100+x)]/110=0
[11y-9x-9]/110=0
-9x+11y-9=0

6,4,10,30|2
-3,2,5,15|2
-3,1,5,15|3
---1,1,5,5|5
---1,1,1,1|

2x2x3x5=60

[10(5x-1)+6(4y-5x)-15(3y-8x)+2(71-4x)]/60=0
[50x-10+24y-30x-45y+120x+142-8x)]/60=0
[132x-21y+132]/60=0
132x-21y+132=0

-9x+11y-9=0 (x21)
132x-21y+132=0 (x11)

-189x+231y-189=0 (x21)
1452x-231y+1452=0 (x11)

1263x=-1263
x=-1

Algébra IME

Algébra IME

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