Question

1. x/2 + 8 = 9 X=? 2. 3x + 1/5 = 2 X=? 3. 3x/4 - 2 = 1 X=? 4. x - 1/2 =2x/3 + 1/2 X=?
5. 5x-3/7 = x - 1 X=? 6. x/2 +4 = x + 2 X=?

Ayuda Porfavor

Answer 1

Respuesta:

$1) \frac{x}{2} + 8 = 9 \\ 2( \frac{x}{2} + 8 ) = 2 \times 9 \\ x + 16 = 18 \\ x = 18 - 16 \\ x = 2$

$2)3x + \frac{1}{5} = 2 \\ 5(3x + \frac{1}{5} ) = 2 \times 5 \\ 15x + 1 = 10 \\ 15x = 10 - 1 \\ 15x = 9 \\ x = \frac{9}{15} = \frac{3}{5}$

$3) \frac{3x}{4} - 2 = 1 \\ 4( \frac{3x}{4} - 2 ) = 4 \times 1 \\ 3x - 8 = 4 \\ 3x = 4 + 8 \\ 3x = 12 \\ x = 4$

$4)x - \frac{1}{2} = \frac{2x}{3} + \frac{1}{2} \\ 6(x - \frac{1}{2} ) = 6( \frac{2x}{3} + \frac{1}{2} ) \\ 6x - 3 = 4x + 3 \\ 6x - 4x = 3 + 3 \\ 2x = 6 \\ x = 3$

$5)5x - \frac{3}{7} = x - 1 \\ 7(5x - \frac{3}{7} ) = 7(x - 1) \\ 35x - 3 = 7x - 7 \\ 35x - 7x = - 7 + 3 \\ 28x = - 4 \\ x = \frac{ - 4}{28} = \frac{ - 1}{7}$

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