373,178 views
18 votes
18 votes
0.4(5x-15)=2.5(x+3) solution is it infinitely or no solution or one solution

User Miroslav Mares
by
2.7k points

1 Answer

24 votes
24 votes

There is one solution to the equation

Here, we want to check the nature of the solution to the equation

We can start this by evaluating the equation;


\begin{gathered} 0.4(5x-15)\text{ = 2.5(x+3)} \\ 2x\text{ - 6 = 2.5x + 7.5} \\ 2.5x-2x\text{ = -6-7.5} \\ 0.5x\text{ = -13.5} \\ x\text{ = }(-13.5)/(0.5) \\ x\text{ = -27} \end{gathered}

As we can see, only a single solution exists for the equation

User Derek Illchuk
by
3.0k points