resolva os sistemas de Equações
A) x+y=11
x-y=3
B)3x+3y=21
2x-y=5
c)2x-4y= -2
5x-3y = 2
d) x=y-2
2x+y= -1
RESPONDA MAIS RAPIDO POSSIVEL
Respostas
Explicação passo-a-passo:
A)
x+y=11
x-y=3
______
x+x=3+11
2x=14
x=14/2
x=7
y=11-x
y=11-7
y=4
S={ 7 : 4}
B)
3x+3y=21
2x-y=5 .(3)
________
3x+3y=21
6x-3y=15
_________
3x+6x=21+15
9x=36
x=36/9
x=4
3y=21-3x
3y=21-3.(4)
3y=21-12
3y=9
y=9/3
y=3
s={ 4 : 3}
c)
2x-4y= -2 .(5)
5x-3y = 2 .(-2)
____________
10x-20y=-10
-10x- 6y= -4
__________
-20y-6y=-10-4
-26y=-14
y=-14/-26
y=(-14÷2)/(-26÷2)
y=-7/-13
y=7/13
2x-4y= -2
2x=-2+4y
2x=-2+4.(7/13)
2x=-2+28/13
2x=(-26+28)/13
2x=(+2)/13
26x=2
x=2/26
x=(2÷2)/(26÷2)
x=1/13
S={ 7/13 : 1/13}
d)
x=y-2
2x+y= -1
2.(y-2)+y=-1
2y-4+y=-1
2y+y=-1+4
3y=3
y=3/3
y=1
x=y-2
x=1-2
x=-1
S={ -1 : 1 }
Resposta:
A)
{x+y=11
{x-y=3
----------
2x=14
x=14/2
x=7
x+y=11
y=11-7
y=4
B)
{3x+3y=21
{2x-y=5 .(3)
{3x+3y=21
{6x-3y=15
----------------
9x=36
x=36/9
x=4
3x+3y=21
3.4+3y=21
3y=21-12
y=9/3
y=3
c)
{2x-4y= -2 .(-3)
{5x-3y = 2 .(4)
{-6x+12y= 6
{20x-12y = 8
------------------
14x=14
x=14/14
x=1
-6x+12y= 6
-6.1+12y= 6
12y=6+6
y=12/12
y=1
d)
{x=y-2
{2x+y= -1
2.(y-2)+y= -1
2y-4+y=-1
3y=-1+4
y=3/3
y=1
x=y-2
x=1-2
x=-1