SOLUTION: Pleae help me with the following :
A number is tripled and then the product is increased by 4. This sum is then multiplied by -2 and the result is 16 greater than twice the opp
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Question 62997This question is from textbook An Incremental Development
: Pleae help me with the following :
A number is tripled and then the product is increased by 4. This sum is then multiplied by -2 and the result is 16 greater than twice the opposite of the number. What is the number??
thank yoU!
This question is from textbook An Incremental Development
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A number is tripled and then the product is increased by 4. This sum is then multiplied by -2 and the result is 16 greater than twice the opposite of the number. What is the number??
:
Let "A number" = x: It's "opposite" = -x
:
Write an expression for each phrase:
"A number is tripled and then the product is increased by 4."
That would be: 3x + 4
:
"This sum is multiplied by -2"
That would be -2(3x+4)
:
The word "is" usually means equal in these problems
" result is 16 greater than twice the opposite of the number"
= 2(-x) + 16
:
Put it all together, a simple equation:
-2(3x + 4) = 2(-x) + 16
:
Multiply what is in brackets:
-6x - 8 = -2x + 16
:
Basic algebra:
-6x + 2x = 16 + 8
-4x = +24
x = 24/-4
x = - 6, it's opposite would be +6
:
:
Check it in our equation x=-6:
-2(3x + 4) = 2(-x) + 16
-2(3(-6) + 4) = 2(+6) + 16
-2(-18 + 4 = 12 + 16
+36 - 8 = 28
:
How about this? Did it make sense to you?
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