Question

2. Resuelve las siguientes ecuaciones de primer grado con una incógnita.
a) X-3 - 3x = 5 - 4x
b) 3 - 9x = -x + 7 – 4x
c) 2x + 3(x= 1) = 5
d) 3 - 4x = 5-2(x - 3)​

Answer 1

a)

$x - 3 - 3x = 5 - 4x \\ x - 3x + 4x = 5 + 3 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4$

b)

$3 - 9x = - x + 7 - 4x \\ 3 - 7 = 9x - x - 4x \\ - 4 = 4x \\ x = \frac{ - 4}{4} \\ x = - 1$

c)

$2x + 3(x - 1) = 5\\ 2x + 3x - 3 = 5 \\ 5x = 5 + 3 \\ 5x = 8 \\ x = \frac{8}{5} \\ x = 1.6$

d)

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

$espero \: ayudarte.$

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