Solve the equation x+3 / 2 = 3x + 5 / 5
Which method of solving for the variable could be used instead of cross multiplication?

Respuesta :

Answer:

use addition and substraction method:

[tex] \frac{x + 3}{2} = \frac{3x + 5}{5} [/tex]

[tex] \frac{x + 3}{2} - \frac{3 x + 5}{5} = 0 [/tex]

[tex] \frac{5(x + 3)}{5(2)} - \frac{2(3x + 5)}{2(5)} = 0[/tex]

[tex] \frac{5x + 15 - 6x - 10}{10} = 0[/tex]

[tex]5x + 15 - 6x - 10 = 0[/tex]

[tex] - x + 5 = 0[/tex]

[tex] - x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 1} [/tex]

[tex]x = 5[/tex]

Answer:

1/4

Step-by-step explanation:

x+3/2=3x+5/5

3/2-1=3x-x

1/2=2x

x=¼

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