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AliceAlmeida8491
@AliceAlmeida8491
November 2019
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Resolva os sistemas:
a)
b)
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exalunosp
a
4 ( x + y/6) = 18
2x - y = 13
4x/1 + 4y/6 = 18/1 >>> mmc = 6
MÉTODO ADIÇÃO
24x + 4y = 108 ***** ( 1)
2x - y = 13 ****** ( 2) ( Multiplicar por 4 para eliminar y )
24X + 4Y = 108
8X - 4Y = 52
-----------------------------
32X // = 160
X = 160/32 = 5 ****
SUBSTITUINDO X EM ( 2)
2 ( 5) - Y = 13
10 - Y = 13
-Y = 13 - 10
-Y = 3
Y = - 3*****
b
12x - 5y = 18
-2/3.x + y = -1 >>>>
- 2x/3 + y/1 = -1/1
mmc = 3
-2x + 3y = - 3 ****** ( 1) ( vezes 6 para eliminar x )
12x - 5y = 18 ***** ( 2 )
-------------------------------
- 12x + 18y = - 18
12x - 5y = 18
-------------------------------
// 13y = 0
y = 0/13 = 0 *****
substitui em ( 1 )
-2x + 3( 0 ) = - 3
-2x + 0 = -3
-2x = -3
2x = 3
x = 3/2 ***
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Lista de comentários
a
4 ( x + y/6) = 18
2x - y = 13
4x/1 + 4y/6 = 18/1 >>> mmc = 6
MÉTODO ADIÇÃO
24x + 4y = 108 ***** ( 1)
2x - y = 13 ****** ( 2) ( Multiplicar por 4 para eliminar y )
24X + 4Y = 108
8X - 4Y = 52
-----------------------------
32X // = 160
X = 160/32 = 5 ****
SUBSTITUINDO X EM ( 2)
2 ( 5) - Y = 13
10 - Y = 13
-Y = 13 - 10
-Y = 3
Y = - 3*****
b
12x - 5y = 18
-2/3.x + y = -1 >>>>
- 2x/3 + y/1 = -1/1
mmc = 3
-2x + 3y = - 3 ****** ( 1) ( vezes 6 para eliminar x )
12x - 5y = 18 ***** ( 2 )
-------------------------------
- 12x + 18y = - 18
12x - 5y = 18
-------------------------------
// 13y = 0
y = 0/13 = 0 *****
substitui em ( 1 )
-2x + 3( 0 ) = - 3
-2x + 0 = -3
-2x = -3
2x = 3
x = 3/2 ***