SOLUTION: How would u go about solving these 3 problems: 1.3x-.78=1.2+2x 2.-x+.6-2x=-4x-.9 3.3(x-1.1)=5x-5.3

Algebra ->  Decimal-numbers -> SOLUTION: How would u go about solving these 3 problems: 1.3x-.78=1.2+2x 2.-x+.6-2x=-4x-.9 3.3(x-1.1)=5x-5.3       Log On


   



Question 105101: How would u go about solving these 3 problems:
1.3x-.78=1.2+2x
2.-x+.6-2x=-4x-.9
3.3(x-1.1)=5x-5.3

Answer by kmcruz09(38) About Me  (Show Source):
You can put this solution on YOUR website!
For me, the most easiest way in solving problems like this is by canceling the decimals first. Let us take the first problem.
3x-.78=1.2%2B2x
Tmost number of decimal places is .78 and has 2 decimal places, therefore, to cancel it, we must multiply all terms by 100.
100%283x+-+.78%29+=+%281.2+%2B+2x%29100
300x+-+78+=+120+%2B+200x
There, we have canceled the decimals. Now we can procede on solving the problem. Isolate the variables on the left side.
300x+-+200x+=+120+%2B+78
100x+=+198
Divide both sides by 100.
%28100x%29%2F100+=+%28198%29%2F100
Now we get the final answer.
x+=+1.98
Just do the same for the other problems. The solutions are as follow.
-x+%2B+.6+-+2x+=+-4x+-.9
10%28-x+%2B+.6+-+2x%29+=+%28-4x+-+.9%2910
-10x+%2B+6+-+20x+=+-40x+-+9
-10x+-+20x+%2B+40x+=+-9+-+6
10x+=+-15
x+=+-1.5

3%28x-1.1%29=5x-5.3
In this case, let us simplify first the equation.
3x+-+3.3+=+5x+-+5.3
Then procede as usual.
10%283x+-3.3%29+=+%285x+-+5.3%2910
30x+-+33+=+50x+-+53
30x+-+50x+=+-53+%2B+33
-20x+=+-20
x+=+1
Thank you.
~kmcruz09~