Question

**URGENTE**
01. Determine a e b de modo que:
a) (3a - 2, b + 4) = (4, 3)
b) (a + 3, b +1) = (3a - 5, 4)
c) (a - 2, 3b + 4) = (2a + 3, b + 2)
d) (a² - 5a, b²) = (-6, 2b - 1)
e) (a - b, a + b) = (-5, 4)
f) (a, 2a) = (b + 4, 7 - b)

Answer 1

Explicação passo-a-passo:

a)

3a -2= 4

3a = 4+2

3a =6

a= 6÷3

a=2

b+4=3

b= 3-4

b= - 1

b)

a+3 = 3a -5

a-3a = -5-3

- 2a = -8

a= -8/-2

a= +4

b+1=4

b= 4-1

b=3

c)

a-2= 2a +3

a-2a = 3+2

-1a=5

a= 5/-1

a= -5

3b+4= b+2

3b - b = 2 -4

2b = -2

b= -2/2

b= -1

d) a²-5a = -6

a² -5a +6=0

∆= (-5)² - 4.1.6

∆= 25 - 24

∆= 1

x= -(-5) ±√1/2.1

x= 5 ±1/2

x1= 5+1/2= 6/2=3

x2= 5-1/2= 4/2=2

S= { 2 ,3}

b² = 2b -1

b² -2b +1=0

∆= (-2)² -4.1.1

∆= 4 -4

∆= 0

x= -(-2)/2

x= +2/2

x= 1

S = { 1 }

e) a - b = -5

a + b = 4

________+

2a = - 1

a= -1/2

a - b = -5

-1/2 - b = -5

-1/2 +5= b

b = -1/2 +5

b= - 1 + 10/2

b= 9/2

f) a = b +4

a - b =4

2a = 7 - b

2a + b = 7

sistema:

2a + b =7

a - b = 4

________+

3a = 11

a= 11/3

a-b = 4

11/3 - b = 4

11/3 -4= b

11 - 12/3=b

b = - 1/3