Question

What is the value of x?O 17O 52/3O 52/7O 3/4

Answer 1

Concept

From the diagram below, the formula can be use to find the value of x.

Next, apply the concept above to find x.

Therefore

`\begin{gathered} (3x)/(4x)\text{ = }\frac{3x\text{ + }7}{5x\text{ - }8} \\ (3)/(4)\text{ = }\frac{3x\text{ + 7}}{5x\text{ - 8}} \\ \text{Next, cross multiply} \\ 4(3x\text{ + 7 ) = 3(5x - 8)} \\ 12x\text{ + 28 = 15x - 24} \\ \text{Arrange similar terms} \\ 28\text{ + 24 = 15x - 12x} \\ 52\text{ = 3x} \\ \text{Divide through by 3} \\ (3x)/(3)\text{ = }(52)/(3) \\ x\text{ = }(52)/(3) \end{gathered}`

Final answer

x = 52/3 Option B is the correct answer