Answer:
7.1
Step-by-step explanation:
Here's how we have to set this up. We will start with the first statement, which algebraically looks like this:
x + 6.5 = y (since we don't know what x is, we don't know what the sum of x and 6.5 is. We will call that new number y.)
Next, we are dividing that sum, y, by 13.6:
[tex]\frac{y}{13.6}=z[/tex] (again, since we don't know what y is, we don't know what y divided by 13.6 is. We will call that new number z.)
Finally, the quotient, z, is multiplied by 5:
5z
Now we work backwards, subbing in our unknowns, one at a time.
5z
If z = [tex]\frac{y}{13.6}[/tex], we sub it into the expression 5z:
[tex]5(\frac{y}{13.6})[/tex] and
if y = x + 6.5 we plug that in for y:
[tex]5(\frac{x+6.5}{13.6})=5[/tex] since we know that whole mess is equal to 5. NOw we solve for x, the original number. Begin by dividing both sides by 5 to get:
[tex]\frac{x+6.5}{13.6}=1[/tex]
Now multiply both sides by 13.6 to get:
x + 6.5 = 13.6 so
x = 7.1
Check this if you'd like by plugging in the 7.1 for x in the intial equation to solve for y, then plug that into the next equation to solve for z, then see if they're equal (they are, but test it out for yourself).
