Question

Pls help me with the question above thanks.... AFAP(as fast as possible)

Answer 1

$\dfrac{a}{3} + \dfrac{a-2}{4} = 8$

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

Simplify:
$\dfrac{4a}{12} + \dfrac{3a-6}{12} = 8$

Combine into single fraction:
$\dfrac{4a + 3a - 6}{12} = 8$

Cross multiply:
$\dfrac{7a - 6}{12} = 8$

Simplify:
$7a - 6= 8 \times 12$

Evaluate the right side:
$7a - 6= 96$

Add 6 to both sides:
$7a = 96 + 6$

Evaluate right side:
$7a = 102$

Divide by 7 on both sides:
$a = 14 \dfrac{4}{7}$

Answer 2

A /3 + (a - 2) / 4 =  8

multiply through by 12:-
4a + 3(a - 2) = 96
7a = 102
a = 14.57 to nearest hundredth