SOLUTION: The length of the base of an isosceles triangle is 4x -7. The length of a leg is x. The perimeter of the triangle is 94. Find x.

There can be no such triangle.

The two congruent sides are x each, and the third side (the base) is 4x-7
The perimeter is 94.  If you add all three sides, we must get 94.  That is

x + x + 4x-7 = 94
        6x-7 = 94
          6x = 101
           x = 16.8333...

So the two legs are 16.8333...

When you add them you get 33.666... which must get a number which is greater
than the third side

But the third side is 4x-7 or 4(16.333...)-7 = 60.333....

But 33.666... is NOT greater than 60.333...

So there is no such triangle.  In any triangle if you add the lengths of any
two sides, you must get a number greater than the third side.  Otherwise, the
shortest distance between two points would not be the straight line between
them.  But we know that is always the case.

Edwin