Question

Resolva as seguintes equações.URGENTE

Answer 1

a) [ (5x-3)/2 ] - [ (1-x)/(3/2) ] = (1/2) × [ (1-4x)/(5/8) ] ⇔

⇔ [ (5x-3)/2 ] - [ (2-2x)/3 ] = [ (8-32x)/10 ] ⇔

⇔ [ (15x-9)/6 ] - [ (4-4x)/6 ] = [ (4-16x)/5 ] ⇔

⇔ [ (15x-9-4+4x)/6 ] = [ (4-16x)/5 ] ⇔

⇔ [ (19x-13)/6 ] = [ (4-16x)/5 ] ⇔

⇔ [ (95x-65)/30 ] = [ (24-96x)/30 ] ⇔

⇔ 95x-65 = 24-96x ⇔

⇔ 191x = 89 ⇔

⇔ x = (89/191)

b) [ (x-1)/4 ] - (1/8) × [ ((x-5)/4) - ((14-2x)5) ] = [(x-9)/2] - (7/8) ⇔

⇔ [ (x-1)/4 ] - [ [ ((x-5)/4) - ((14-2x)5) ] /8 ] = (x/2) - (9/2) - (7/8) ⇔

⇔ [ (x-1)/4 ] - [ [ ((5x-25)/20) - ((56-8x)20) ] /8 ] = (x/2) - (9/2) - (7/8) ⇔

⇔ [ (x-1)/4 ] - [ [ (13x-81)/20 ] /8 ] = (x/2) - (9/2) - (7/8) ⇔

⇔ [ (x-1)/4 ] - [ (13x-81) /160 ] = (x/2) - (9/2) - (7/8) ⇔

⇔ [ (40x-40)/160 ] - [ (13x-81) /160 ] = (x/2) - (9/2) - (7/8) ⇔

⇔ (27x/160) + (41/160) = (x/2) - (9/2) - (7/8) ⇔

⇔ (27x/160) + (41/160) = (80x/160) - (720/160) - (140/160) ⇔

⇔ 27x + 41 = 80x - 720 - 140 ⇔

⇔ -53x = -901 ⇔

⇔ x = -901 / (-53) ⇔

⇔ x = 17

c)

Passei as últimas 2 horas a tentar mas não consigo resolver a c). Recomendo este link para tentares entender a resolução. Desculpa.

http://pt.symbolab.com/solver/equation-calculator/%5Cleft%5B%20%5Cleft%5B%20%5Cleft(%5Cleft(3x%5Cright)%2F4%5Cright)%20-%202%20%5Cright%5D%20%2F%208%20%5Cright%5D%20%2B%2019%20%3D%20x%20-%20%5Cleft%5B%20%5Cleft%5B%20%5Cleft(x%2F2%5Cright)%20%2B%201%20%2B%20%5Cleft(-%5Cleft(1%2F5%5Cright)%5Cright)%C3%97%20%5Cleft(x-4%5Cright)%20%5Cright%5D%20%2F11%20%5Cright%5D