Respuesta :
Answer:
First, you have to make both fractions the same denorminators :
[tex] \frac{x}{2} + \frac{y}{3} = 1[/tex]
[tex] \frac{x \times 3}{2 \times 3} + \frac{y \times 2}{3 \times 2} = 1[/tex]
[tex] \frac{3x}{6} + \frac{2y}{6} = 1[/tex]
Next, you have make them into 1 fraction :
[tex] \frac{3x + 2y}{6} = 1[/tex]
Then, you have to multiply both sides by 6, in order to get rid fraction :
[tex] \frac{3x + 2y}{6} \times 6 = 1 \times 6[/tex]
[tex]3x + 2y = 6[/tex]
Lastly, you have to move all the unrelated terms to the other side :
[tex]3x + 2y = 6[/tex]
[tex]3x = 6 - 2y[/tex]
[tex]x = \frac{6}{3} - \frac{2}{3} y[/tex]
[tex]x = 2 - \frac{2}{3} y[/tex]
Therefore, the value of x is :
[tex]x = 2 - \frac{2}{3} y[/tex]