Question

como que resolve me ajudemm
{3×+2y=10} {A+3b=5}
{-3x+y=-2} {2a-3b=-8}

Answer 1

Resposta:a)

3x - 2y = 10

5x + 2y = 22

3x + 5x - 2y + 2y = 10 + 22

8x = 32

x = 32/8

x = 4

3x - 2y = 10

3.(4) - 2y = 10

12 - 2y = 10

- 2y = 10 - 12

- 2y = -2

y = 2/2

y = 1

S = {4,1}

b)  

- a + 2b = 7

 a - 3b = -9

- a + a + 2b - 3b = 7 - 9

- b = -2

b = 2

a - 3b = -9

a - 3.(2) = -9

a - 6 = -9

a = - 9 + 6

a = - 3

S = {-3,2}

c)

a + 3b = 5

2a - 3b = -8

a + 2a + 3b - 3b = 5 - 8

3a = - 3

a = -3/3

a = - 1

a + 3b = 5

- 1 + 3b = 5

3b = 5 + 1

3b = 6

b = 6/3

b = 2

S = {-1,2}

d)

2a - b = -3

6a + b = 7

2a + 6a - b + b = - 3 + 7

8a = 4

a = 4/8

a = 1/2

2a - b = -3

2.(1/2) - b = -3

1 - b = - 3

- b = - 3 - 1

- b = - 4

b = 4

S = {1/2,4}

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a) 8x =10 +22⇒8x=32⇒x=4

3x-2y= 10⇒3.(4) -2y=10⇒12-2y=10⇒-2y=10-12⇒y=1.

S={ 4,1}

b) -b=-2(-1)⇒b=2

-a+2b= 7⇒-a+2.2=7⇒-a=7-4⇒a=3 S={ 3,2}

c) 3 a=-3⇒ a=-1.

a+3b=5⇒ -1+3b=5⇒b=6/3⇒b=2 S={-1,2}

d) 8a=4 ⇒a=1/2.

2 (1/2) -b=-3

1-b=-3⇒b=4  

S={1/2,4}

Answer 2

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$\boxed{\begin{array}{l}+\underline{\begin{cases}\sf \diagdown\!\!\!\!\13x+2y=10\\\sf-\diagdown\!\!\!\!\!3x+y=-2\end{cases}}\\\sf 3y=8\\\sf y=\dfrac{8}{3}\\\sf -3x+y=-2\\\sf y=3x-2\\\sf y=\diagup\!\!\!3\cdot\dfrac{8}{\diagup\!\!\!\!3}-2\\\sf y=8-2\\\sf y=6\\\sf S=\bigg\{\dfrac{8}{3},6\bigg\}\end{array}}$

$\Large\boxed{\begin{array}{l}+\underline{\begin{cases}\sf a+\diagdown\!\!\!\!\!\!3b=5\\\sf 2a-\diagdown\!\!\!\!\!3b=-8\end{cases}}\\\sf3a=-3\\\sf a=-\dfrac{3}{3}\\\sf a=-1\\\sf a+3b=5\\\sf -1+3b=5\\\sf 3b=5+1\\\sf 3b=6\\\sf b=\dfrac{6}{3}\\\sf b=2\\\sf S=\{-1,2\}\end{array}}$