I need help showing me how to do some problems..
5. 28-0.3y = 0.7y-12
I got 10/400 or 0.025..
and
3c-4c+1=5c+2+3
I ended up getting c=1 but the book says it's wrong too.. What am I doing wrong?
I figured out number 5.
I'm still having problems with the other one though.
To solve the equation 28 - 0.3y = 0.7y - 12, follow these steps:
1. Begin by simplifying both sides of the equation. On the left side, simplify 28 - 0.3y to get 28 - 0.3y. On the right side, simplify 0.7y - 12 to get 0.7y - 12.
2. Now, combine like terms on both sides. On the left side, there are no like terms to combine, so it remains as 28 - 0.3y. On the right side, combine the 0.7y and -12 to get 0.7y - 12.
3. At this point, you have the equation 28 - 0.3y = 0.7y - 12.
4. To isolate the variable y, start by getting all the y terms on one side of the equation. Add 0.3y to both sides of the equation, which cancels out the -0.3y on the left side. This gives you 28 = 1y - 12.
5. Next, simplify the right side. 1y is the same as y, so the equation becomes 28 = y - 12.
6. Now, isolate y by adding 12 to both sides. This will eliminate the -12 on the right side, resulting in 40 = y.
So, the solution is y = 40, not 0.025.
Moving on to the second problem:
To solve the equation 3c - 4c + 1 = 5c + 2 + 3, follow these steps:
1. Begin by simplifying both sides of the equation. On the left side, simplify 3c - 4c to get -c. On the right side, simplify 5c + 2 + 3 to get 5c + 5.
2. Now, you have the equation -c + 1 = 5c + 5.
3. To isolate the variable c, start by getting all the c terms on one side of the equation. Add c to both sides of the equation. This cancels out the -c on the left side and gives you 1 = 6c + 5.
4. Next, simplify the right side by subtracting 5 from both sides. This cancels out the +5 on the right side, resulting in -4 = 6c.
5. Finally, isolate c by dividing both sides by 6. This will eliminate the 6 on the right side, giving you -4/6 = c.
Simplifying the left side of the equation, -4/6 can be reduced to -2/3, so the solution is c = -2/3, not 1.
Please double-check your calculations and make sure you follow every step carefully to avoid any mistakes.