SOLUTION: I just wanted to make sure that I solved these correctly 5/8X + 1/16X= 5/16 + X The solution is X= 1/32 also, Use the distributive property to help you solve the equatio

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I just wanted to make sure that I solved these correctly 5/8X + 1/16X= 5/16 + X The solution is X= 1/32 also, Use the distributive property to help you solve the equatio      Log On


   

Question 206626: I just wanted to make sure that I solved these correctly
5/8X + 1/16X= 5/16 + X The solution is X= 1/32
also,
Use the distributive property to help you solve the equation
3(w-5)=6 W=___ ( I came up with W= 7)

Solve using the multiplication principle.
11X = -99 the solutionis X=-9 (Is this correct)
Thank you
Found 2 solutions by jim_thompson5910, Theo:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


I'm assuming that the equation is %285%2F8%29x%2B%281%2F16%29x=5%2F16%2Bx right? If so, then...


%285%2F8%29x%2B%281%2F16%29x=5%2F16%2Bx Start with the given equation.


16%28%285%2Fcross%288%29%29x%2B%281%2Fcross%2816%29%29x%29=16%285%2Fcross%2816%29%2Bx%29 Multiply both sides by the LCD 16 to clear any fractions.


10x%2Bx=5%2B16x Distribute and multiply.


11x=5%2B16x Combine like terms on the left side.


11x-16x=5 Subtract 16x from both sides.


-5x=5 Combine like terms on the left side.


x=%285%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=-1 Reduce.


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Answer:

So the solution is x=-1






# 2




3%28w-5%29=6 Start with the given equation.


3w-15=6 Distribute.


3w=6%2B15 Add 15 to both sides.


3w=21 Combine like terms on the right side.


w=%2821%29%2F%283%29 Divide both sides by 3 to isolate w.


w=7 Reduce.


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Answer:

So the solution is w=7


So you are correct. Good Job.





# 3


11x=-99 Start with the given equation.


x=%28-99%29%2F%2811%29 Divide both sides by 11 to isolate x.


x=-9 Reduce.


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Answer:

So the solution is x=-9


Once again, you're correct. Congrats.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
PROBLEM 1
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5/8X + 1/16X= 5/16 + X The solution is X= 1/32
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if i understand the problem correctly, your equation is:
5%2F%288x%29+%2B+1%2F%2816x%29+=+5%2F16+%2B+x
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i could not verify your answer as correct.
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i would have solved as follows:
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5%2F%288x%29+%2B+1%2F%2816x%29+=+5%2F16+%2B+x
multiply both sides of the equation by 16x to get:
10+%2B+1+=+5x+%2B+16x%5E2 which becomes:
11+=+5x+%2B+16x%5E2 which becomes:
16x%5E2+%2B+5x+-+11+=+0
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i used the quadratic formula to get a solution of:
x = -1 or x = .6875
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substituting in the original equation of 5%2F%288x%29+%2B+1%2F%2816x%29+=+5%2F16+%2B+x should confirm the answer as correct.
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if we let x = -1, then 5%2F%288x%29+%2B+1%2F%2816x%29+=+5%2F16+%2B+x becomes 5%2F%288%2A%28-1%29%29+%2B+1%2F%2816%2A%28-1%29%29+=+5%2F16+%2B+%28-1%29
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This becomes -(5/8) - (1/16) = (5/16) - 1
which becomes -11/16 = -11/16 confirming x = -1 is correct.
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if we let x = .6875, then 5%2F%288x%29+%2B+1%2F%2816x%29+=+5%2F16+%2B+x becomes 5%2F%285.5%29+%2B+1%2F%2811%29+=+5%2F16+%2B+.6875
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This becomes .90909090909... + .0909090909091... = .3125 + .6875
which becomes 1 = 1 confirming x = .6875 is also correct.
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a graph of this equation would look like this:
graph%28600%2C600%2C-5%2C5%2C-100%2C100%2C16x%5E2%2B5x-11%29
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an alternative interpretation of this problem would be:
%285%2F8%29%2Ax+%2B+%281%2F16%29%2Ax+=+5%2F16+%2B+x
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i would have solved as follows:
multiply both sides of this equation by 16 to get:
10x+%2B+x+=+5+%2B+16x which becomes:
11x = 5 + 16x
subtract 11x from both sides and subtract 5 from both sides to get:
5x = -5
divide both sides by 5 to get:
x = -1
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substitute in the original equation of 11x = 5 + 16x gets -11 = -11 confirming the answer is correct.
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PROBLEM 2
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3(w-5)=6 W=___ ( I came up with W= 7)
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this looks good.
substituting in your original equation we get:
3*(7-5) = 6
which becomes 3*2 = 6 which becomes 6 = 6 which means w = 7 is good.
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PROBLEM 3
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11X = -99 the solution is X=-9 (Is this correct)
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this also looks good.
substituting in your original equation we get:
11*(-9) = -99 which becomes -99 = -99 which means x = -9 is good.
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