Matemática, perguntado por alan85911929, 9 meses atrás

Resolva as equações:
a) (x − 3) − (x + 2) + 2(x − 1) − 5 = 0
b) 3x − 2(4x − 3) = 2 − 3(x − 1)
c) 3(x − 1) − (x − 3) + 5(x − 2) = 18
d) 5(x − 3) − 4(x + 2) = 2 + 3(1 − 2x)

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Soluções para a tarefa

Respondido por mariasansdis
2

Explicação passo-a-passo:

a) (x − 3) − (x + 2) + 2(x − 1) − 5 = 0

(x - 3) - x - 2 + 2x - 2 - 5 = 0 \\  -  {x}^{2} +   x - 4 - 5 = 0 \\  -  {x}^{2}  + x - 9 = 0

b) 3x − 2(4x − 3) = 2 − 3(x − 1)

</p><p> \\ 3x - 8x+ 6 = 2 - 3x + 1  \\ 3x - 8x + 3x = 1 - 6 \\  - 8x + 6x =  - 5 \\  - 2x =  - 5 \\ x =  \frac{ - 5} {2}

c) 3(x − 1) − (x − 3) + 5(x − 2) = 18

3x - 3 - x + 3 + 5x - 10 = 18 \\ 3x - x + 5x = 18 + 3  - 3 + 10 \\ 8x - x = 28 \\ 7x = 28 \\ x =  \frac{28}{7} \\ x = 4

d) 5(x − 3) − 4(x + 2) = 2 + 3(1 − 2x)

5x - 15 - 4x - 8 = 2 + 3 - 6x \\ 5x - 4x + 6x = 2 + 3 + 15 + 8 \\ 11x - 4x = 26 + 2 \\ 7x = 28 \\ x =  \frac{28}{7}  \\ x = 4

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