Kim has a rope that is 1/2 meter long. She wants to cut it into 5 pieces. Each piece must be the same size. How long will each piece be?

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

X+ y = 5 ; x - y =3 solve using linear combination

If a is a nonzero real number then the reciprocal of a is