what is a
6a + 12 = 55 - 2a
please show workings
I am sure I have done this one recently.
You need to make a the subject, i.e. turn the equation into a=. In order to do this you need the a terms on one side and the numbers on the other.
6a + 12 = 55 - 2a
Start by adding 2a to each side.
6a +2a + 12 = 55 - 2a + 2a
8a + 12 = 55
Now subtract 12 from each side
8a + 12 - 12 = 55 - 12
8a = 43
now divide each side by 8
8a/8 = 43/8
a=43/8
Inverse operations are the reverse of an effect of an another operation. An example would be addition and subtraction. Here is a problem of an inverse operation.
7+4=11
4+7=11
To solve the equation 6a + 12 = 55 - 2a, we need to isolate the variable "a" on one side of the equation. Here's how you can work through it step-by-step:
Step 1: Combine like terms
On the left side, we have 6a and -2a, which can be combined to give us 4a.
6a + 12 = 55 - 2a becomes 4a + 12 = 55.
Step 2: Isolate the variable term
We want to move the constant term (in this case, 12) to the other side of the equation. To do this, subtract 12 from both sides:
4a + 12 - 12 = 55 - 12 simplifies to 4a = 43.
Step 3: Solve for the variable
To solve for "a," we divide both sides of the equation by the coefficient of "a" (which is 4).
Dividing both sides by 4 gives us 4a/4 = 43/4.
This simplifies to a = 43/4.
So, the solution to the equation 6a + 12 = 55 - 2a is a = 43/4.