Question

hola es mi primer dia y quiero saber cuanto es

1.

1/4a+7/2=8/5a+9/4

2.

10x-100+200x=10x+900

3.

40m-100+7.5=75m+100

4.

5/2 x+4/3 - 7/3 x =7/3+5/4x+3

5.
4[(2x+1)-3]+2x=[(2x+1)+x]-5

Answer 1

Explicación paso a paso:

$1) \\ \frac{1}{4} a + \frac{7}{2} = \frac{8}{5} a + \frac{9}{4} \\ \\ \frac{1}{4} a - \frac{8}{5} a = \frac{9}{4} - \frac{7}{2} \\ \: \\ \frac{5 - 32}{20} a = \frac{9 - 14}{4} \\ \\ - \frac{27}{20} a = - \frac{5}{4} \\ \\ a = - \frac{5}{4} \div ( - \frac{27}{20}) \\ \\ a = \frac{100}{108} \\ \\ a = \frac{25}{27}$

$2) \\ 10x - 100 + 200x = 10x + 900 \\ 210x - 100 = 10x + 900 \\ 210x - 10x = 900 + 100 \\ 200x = 1.000 \\ x = 1.000 \div 200 \\ x = 5$

$3) \\ 40m - 100 + 7 \times 5 = 75m + 100 \\ 40m - 100 + 35 = 75m + 100 \\ 40m - 65 = 75m + 100 \\ 40m - 75m = 100 + 65 \\ - 35m = 165 \\ m = 165 \div ( - 35) \\ m = - \frac{33}{7}$

$4) \\ \frac{5}{2} x + \frac{4}{3} - \frac{7}{3} x = \frac{7}{3} + \frac{5}{4}x + 3 \\ \\ \frac{5}{2} x - \frac{7}{3} x - \frac{5}{4} x = \frac{7}{3} + 3 - \frac{4}{3} \\ \\ \frac{30 - 28 - 15}{12} x = \frac{7 + 9 - 4}{3} \\ \\ - \frac{13}{12} x = \frac{12}{3}\\ \\ - \frac{13}{12} x = 4\\ \\ x = 4 \div ( - \frac{13}{12} ) \\ \\ x = - \frac{48}{13}$

5)

4[(2x+1)-3]+2x=[(2x+1)+x]-5

4[2x+1-3]+2x=[2x+1+x]-5

8x+4-12+2x=3x+1-5

10x-8=3x-4

10x-3x= -4+8

7x=4

x=4/7