Question

1) Resolva as seguintes equações literais (x é a incógnita) a) 5x + m = 4m b) 3x – a = 7 c) 3ax + 4a = 6a d) 4x – a = -x + c e) Mx = 3m + 2 + x f) 4a + 3x = 12a + x g) 4x – ax + 3 = 36 h) 5x – a = 2ax + 7

Answer 1

Explicação passo-a-passo:

Equações literais :

A) $\sf{ 5x + m~=~ 4m }$

$\iff \sf{ 5x~=~ 4m - m }$

$\iff \sf{ 5x~=~ 3m }$

$\boxed{\sf{ x~=~ \dfrac{3}{5}m } \sf{ \longleftarrow Resposta } }$

$\sf{ B)~ 3x - a~=~ 7 }$

$\iff \sf{ 3x~=~ 7 + a }$

$\iff \sf{ x~=~ \dfrac{1}{3}a + \dfrac{7}{3} \longleftarrow Resposta }$

$\sf{ C)~ 3ax + 4a~=~6a }$

$\iff \sf{ 3ax~=~ 6a - 4a }$

$\iff \sf{ 3ax~=~2a }$

$\iff \sf{ x~=~ \dfrac{2a}{3a} }$

$\iff \sf{ x~=~ \dfrac{2}{3} \longleftarrow Resposta }$

$\sf{ D)~ 4x - a~=~ -x + c }$

$\iff \sf{ 4x + x~=~ a + c }$

$\iff \sf{ 5x~=~ a + c }$

$\iff \sf{ x~=~ \dfrac{ a + c }{5} \longleftarrow Resposta }$

$\sf{ E)~ Mx ~=~ 3m + 2 + x }$

$\iff \sf{ Mx - x~=~ 3m + 2 }$

$\iff \sf{ x( M - 1)~=~ 3m + 2 }$

$\iff \sf{ x~=~ \dfrac{ 3m + 2 }{ M - 1 } \longleftarrow Resposta }$

$\sf{ F)~4a + 3x ~=~ 12a + x }$

$\iff \sf{ 3x - x ~=~ 12a - 4a }$

$\iff \sf{ 2x ~=~ 8a }$

$\iff \sf{ x~=~ \dfrac{8}{2}a }$

$\iff \sf{ x~=~ 4a \longleftarrow Resposta }$

$\sf{ G)~4x - ax+3~=~36 }$

$\iff \sf{ x( 4 - a)~=~ 36 - 3 }$

$\iff \sf{ x~=~ \dfrac{33}{4 - a} \longleftarrow Resposta }$

$\sf{ h)~5x - a~=~ 2ax + 7 }$

$\iff \sf{ 5x - 2ax ~=~ a + 7 }$

$\iff \sf{ x(5 - 2a)~=~ a + 7 }$

$\iff \sf{ x~=~ \dfrac{a + 7}{5 - 2a} \longleftarrow Resposta }$

Espero ter ajudado bastante!)

Answer 2

Oie, Td Bom?!

a)

5x + m = 4m

5x = 4m - m

5x = 3m

x = 3/5 m

b)

3x - a = 7

3x = 7 + a

x = 7/3 + 1/3 a

c)

3ax + 4a = 6a

3ax = 6a - 4a

3ax = 2a

x = 2a/3a

d)

4x - a = - x + c

4x + x = c + a

5x = c + a

x = 1/5 c + 1/5 a

e)

mx = 3m + 2 + x

mx - x = 3m + 2

x . (m - 1) = 3m + 2

x = [3m + 2]/m - 1

f)

4a + 3x = 12a + x

3x - x = 12a - 4a

2x = 8a

x = 8/2 a

x = 4a

g)

4x - ax + 3 = 36

x . (4 - a) = 36 - 3

x . (4 - a) = 33

x = 33/[4 - a]

h)

5x - a = 2ax + 7

5x - 2ax = 7 + a

x . (5 - 2a) = a + 7

x = [a + 7]/[5 - 2a]

Att. Makaveli1996