MWizard2k04

Thanks for the suggestion.

What order of operations?

If you were saying -2, adding [5 multiplied by 7], then the answer is 33. If you were saying -2, adding 5, then multiplying by 7, the answer is 21.

Umm...

Overflow.

190674⁹⁷ = Error: overflow

Or:

190674^1/97 = 1.1335377674334057

Assume the currency is $ (dollars):

The sale price = $256

Discounted price = $256 * (100-25)% = $192

Discounted price + tax = $192 * (100+15)% = $220.80

First Question

9x - 9y = -99x - 9y = -9

9x - 9y = -99x - 9y = -9 (cancel -9y)

9x        = -99x        = -9 | ÷ -9

-x         = 11x         = 1  | + x

0          = 12x        = 1+x

If 12x = 0, then x = 0 but 1+x = 1+0 = 1 so 0 = 0 = 1 is not true. Hence there are no solutions

Second Question

(-8x + 9y) = 11 + (- 8x + 9y) = 11                | -(- 8x + 9y) on all sides

0 = 11 + 0 = 11

0 = 11 = 11

0 ≠ 11

No solutions

62/50 = 124/100 (twice numerator and denominator)

x/100 = x %

If x = 124

x/100 = x % substitute x with 124

124/100 = 124%

62/50 = 124%

3 e^x + 12x = 0         | - 12x

3 e^x = -12x              | ÷ 3

e^x = -4x                   | ÷ -4

-(e^x/4) = x

x = -(e^x/4)