Respuesta :

a /3 + (a - 2) / 4 =  8

multiply through by 12:-
4a + 3(a - 2) = 96
7a = 102
a = 14.57 to nearest hundredth
[tex] \dfrac{a}{3} + \dfrac{a-2}{4} = 8[/tex]

Change the denominator to be the same:
[tex] \dfrac{4(a)}{4(3)} + \dfrac{3(a-2)}{3(4)} = 8[/tex]

Simplify:
[tex] \dfrac{4a}{12} + \dfrac{3a-6}{12} = 8[/tex]

Combine into single fraction:
[tex] \dfrac{4a + 3a - 6}{12} = 8[/tex]

Cross multiply:
[tex] \dfrac{7a - 6}{12} = 8[/tex]

Simplify:
[tex]7a - 6= 8 \times 12[/tex]

Evaluate the right side:
[tex]7a - 6= 96[/tex]

Add 6 to both sides:
[tex]7a = 96 + 6[/tex]

Evaluate right side:
[tex]7a = 102[/tex]

Divide by 7 on both sides:
[tex]a = 14 \dfrac{4}{7} [/tex]



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