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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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
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??
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Let "A number" = x: It's "opposite" = -x
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Write an expression for each phrase:
"A number is tripled and then the product is increased by 4."
That would be: 3x + 4
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"This sum is multiplied by -2"
That would be -2(3x+4)
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The word "is" usually means equal in these problems
" result is 16 greater than twice the opposite of the number"
= 2(-x) + 16
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Put it all together, a simple equation:
-2(3x + 4) = 2(-x) + 16
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Multiply what is in brackets:
-6x - 8 = -2x + 16
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Basic algebra:
-6x + 2x = 16 + 8
-4x = +24
x = 24/-4
x = - 6, it's opposite would be +6
:
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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
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How about this? Did it make sense to you?
