SOLUTION: Can someone help me with theses two and show the work so I can try and understand it. Thanks 1. Clear fractions or decimals, solve, and check: 1/2+4m=3m-5/2 2. Combine like te

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Can someone help me with theses two and show the work so I can try and understand it. Thanks 1. Clear fractions or decimals, solve, and check: 1/2+4m=3m-5/2 2. Combine like te      Log On


   

Question 238151: Can someone help me with theses two and show the work so I can try and understand it. Thanks
1. Clear fractions or decimals, solve, and check: 1/2+4m=3m-5/2
2. Combine like terms, and write in descending order: 3/4 x^3+4x^2-x^3+7


Found 2 solutions by College Student, JimboP1977:
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
1. Clear fractions or decimals, solve, and check: 1/2+4m=3m-5/2
Steps:
a. move the terms with variables to the left, other terms on the right.
b. perform appropriate mathematical operation
Work shown:
1%2F2%2B4m=3m-5%2F2
4m=3m-%285%2F2%29-%281%2F2%29
4m-3m=-%285%2F2%29-%281%2F2%29
now perform math operations
m=-%286%2F2%29
Can you simplify -%286%2F2%29 ?
Yes, but I'll let you finish it.
.
2. Combine like terms, and write in descending order: 3/4x^3+4x^2-x^3+7
Steps:
a. here you may perform a math operation only on those terms that have the variable raised to the same power, so:
Problem:
%283%2F4%29x%5E3%2B4x%5E2-x%5E3%2B7
Now place them in descending order:
%283%2F4%29x%5E3-x%5E3%2B4x%5E2%2B7
Since any number divided by itself equals 1, we will change the coefficient of -x^3 to -(4/4)x^3. The reason I picked 4/4 is so we can do the mathematical operation with the first term. So, we now have:
%283%2F4%29x%5E3-%284%2F4%29x%5E3-4x%5E2%2B7
-%281%2F4%29x%5E3-4x%5E2%2B7
.
This is as far as we can go. :)

Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
1) well you want to get m on the same side first of all.
So I would take 3m away from each side of the equation. REMEMBER FOR EQUATIONS PROVIDED YOU DO THE SAME ACTION TO BOTH SIDES IT REMAINS BALANCED LIKE SCALES
1/2+(4m-3m)=(3m-3m)-5/2
1/2+m=-5/2
Take 1/2 from both sides. We have the same denominator (the lower numbers on the fraction) so we can concentrate on the numerators (top numbers)
(1/2-1/2)+m=-5/2-1/2
m= -6/2 (-5-1 = -6)
m= -3
Check answer by subsituting back in.
gives us -11.5 on both sides.
Check through and see if you can follow my working.
Then have a go at 2) on your own and see what you come up with.