SOLUTION: Find the value of x. x=3s x=(a+15) s=(a-1)

Question 88429: Find the value of x.
x=3s
x=(a+15)
s=(a-1)
Found 2 solutions by bucky, stanbon:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
There are several ways you can do this problem. Here's one way.
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You are told that x = 3s and also that x = a + 15. Therefore, you can tell that since
3s equals x and a + 15 equals x, then 3s must also equal a + 15. In equation form this is:
.

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Solve this equation for s by dividing both sides by 3 to get:
.

.
Then you are also told that s = a - 1. So you can substitute a - 1 for s in the equation to get:
.

.
Get rid of the denominator by multiplying all terms on both sides by 3 to get:
.

.
Subtract a from both sides and the equation becomes:
.

.
Add 3 to both sides:
.

.
Solve for a by dividing both sides by 2:
.

.
So now you know the value of a. And the problem originally told you that:
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Substitute 9 for a and you have:
.

.
So the answer to your problem is that x = 24. You also know that a = 9, and since
s = a - 1, you know that s = 9 - 1 = 8. And since you were told that x = 3s you can check
by substituting 8 for s and get x = 3s = 3*8 = 24. So that checks the problem also.
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Everything seems to work which helps to confirm that x = 24 is correct.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the value of x.
x=3s
x=(a+15)
s=(a-1)
-------
x=a+15
x=3(a-1) = 3a-3
---------
a+15 = 3a-3
2a = 18
a=9
--------
Therefore x= a+15 = 9+15 = 24
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Cheers,
Stan H.

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