Question

Resolva as seguintes equações.
A)(4x-5)=5 (3x-2)
B)4 (2x-5)=3-(-2x+1)
C)3 (-5+5y)-2y=11
D)5(1+3y)-8y=-16

Answer 1

A)$x = \frac{5}{11}$

$(4x - 5) = 5(3x - 2) \\ 4x - 5 = 15x - 10 \\ 4x - 15x = - 10 + 5 \\ - 11x = - 5 \\ - 11x \times ( - 1) = - 5 \times ( - 1) \\ 11x = 5 \\ x = \frac{5}{11}$

B)$x = \frac{11}{3}$

$4(2x - 5) = 3 - ( - 2x + 1) \\ 8x - 20 = 3 + 2x - 1 \\ 8x - 2x = 3 - 1 + 20 \\ 6x = 2 + 20 \\ 6x = 22 \\x = \frac{22}{6} = \frac{11}{3}$

C)$y = 2$

$3( - 5 + 5y) - 2y = 11 \\ - 15 + 15y - 2y = 11 \\ 15y - 2y = 11 + 15 \\ 13y = 26 \\ y = \frac{26}{13} \\ y = 2$

D)$y = - 3$

$5(1 + 3y) - 8y = - 16 \\ 5 + 15y - 8y = - 16 \\ 15y - 8y = - 16 - 5 \\ 7y = - 21 \\ y = \frac{ - 21}{7} \\ y = - 3$