Which equation is the correct equation to solve for x?
Given ST = 5x + 1 , TU = 4x -1, and SU = 54
Its multiple choice and the answers given are-
A)(5x + 1) + 54 = 4x - 1
B)(4x - 1) + 54 = 5x + 1
C) 5x + 1 = 55 - 4x
D) 5x + 1 = 27
We can't answer the question unless we know the position of S, T, and U relative to each other.
e.g. are S and U the endpoints with T between them ?
My guess is that T id a point between S and U. So,
ST+TU=SU
5x+1 + 4x-1 = 54
That's not there, so try
ST = SU - TU
5x+1 = 54-(4x-1)
5x+1 = 55-4x
(C)
To solve for x in this problem, we'll need to set up an equation using the given information. Since we're given that ST = 5x + 1 and TU = 4x - 1, we can set up an equation for the total distance by adding ST and TU together: ST + TU = SU.
Substituting the given values into the equation, we have:
5x + 1 + 4x - 1 = 54
Combining like terms, we get:
9x = 54
Now, to find x, we can divide both sides of the equation by 9:
9x/9 = 54/9
Simplifying further:
x = 6
Therefore, the correct equation to solve for x is:
B) (4x - 1) + 54 = 5x + 1