Six times the reciprocal of a number equals two time the reciprocal of 8

x=24

Step-by-step explanation:

1) Rewrite the problem as an equation:

6(1/x)=2(1/8)

2) Multiply 6 by 1/x:

6/x=2(1/8)

3) Multiply 2 by 1/8:

6/x=2/8

4) Simplify 2/8:

6/x=1/4

5) Multiply everything by x:

6=(1/4)x

6) Multiply everything by the reciprocal of 1/4: (4)

x=24

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.