ANSWER
[tex]a\text{ = }\frac{37}{96}[/tex]EXPLANATION
We have the equation:
[tex]\frac{3}{4}\text{ + ax = 10}[/tex]The solution to the equation is x = 24.
This means that:
[tex]\begin{gathered} \frac{3}{4}\text{ + a }\cdot\text{ 24 = 10} \\ \text{Collect like terms:} \\ a\cdot\text{ 24 = 10 - }\frac{3}{4} \\ a\cdot24\text{ = 9}\frac{1}{4} \\ a\cdot24\text{ = }\frac{37}{4} \\ \text{Divide through by 24:} \\ a\text{ = }\frac{37}{4\cdot\text{ 24}} \\ a\text{ = }\frac{37}{96} \end{gathered}[/tex]That is the value of a.
