Question

1,8x-3=1,(3)x; 0,24x-1=1,1(3).

Answer 1

1,8x-3=1,(3)
1,8x=4,(3)
x=2,(407)

0,24x-1=1,1(3)
0,24x=2,1(3)
x=8,(8)

Answer 2

$1)1.8x - 3 = 1.(3)x$

$\frac{18}{10} \times x - 3 = \frac{13 - 1}{9} \times x$

$\frac{18x}{10} - 3 = \frac{12x}{9}$

$\frac{9 \times 18x}{9 \times 10} - \frac{90\times 3}{90} = \frac{10 \times 12x}{10 \times 9}$

$\frac{162x}{90} - \frac{270}{90} = \frac{120x}{90}$

$162x - 270 = 120x$

$162x - 120x = 270$

$42x = 270$

$x = \frac{270}{42}$

$x = \frac{14}{90}$

$x = \frac{7}{45}$

$2)0.24x - 1 = 1.1(3)$

$\frac{24}{100} \times x- 1 = \frac{113 - 11}{90}$

$\frac{24x}{100} - 1 = \frac{102}{90}$

$\frac{9 \times 24x}{9 \times 100} - \frac{900 \times 1}{900} = \frac{10 \times 102}{10 \times 90}$

$\frac{216x}{900} - \frac{900}{900} = \frac{1020}{900}$

$216x - 900 = 1020$

$216x = 1020 + 900$

$216x = 1920$

$x = \frac{1920}{216}$

$x = \frac{960}{108}$

$x = \frac{380}{54}$

$x = \frac{170}{27}$