So I have to solve this problem
9a=6(a+4)
And then I wrote down:
9a=6a+24
but I don't know what to do from there, can someone explain to me please?
9a=6a+24
The next step is to combine like terms and get the knowns on one side and the unknowns on the other.
Subtract 6a from both sides of the equation.
9a - 6a = 6a - 6a + 24
3a = 24
Divide both sides by 3 to find the value of a.
3a/3 = 24/3
a = 8
Okay, when I checked my answer, how come I got 72? when I put 8 As A into the equation.
That's what the original problem states: 72 = 72
9a=6(a+4)
9(8) = 6(8 + 4)
72 = 72
So I could have two answers... ? 8 and 72?
No.
You only need to find what a represents. As we found, in this problem a = 8.
You proved it by substituting 8 for a in the original problem.
To solve the equation 9a = 6(a + 4), you're off to a good start by simplifying it. You correctly distributed the 6 into the parentheses, which gives you:
9a = 6a + 24
To continue, you want to isolate the variable "a" on one side of the equation. In this case, you'll need to get rid of the 6a term on the right side. To do this, you can apply the opposite operation of addition, which is subtraction.
Subtract 6a from both sides of the equation:
9a - 6a = 6a - 6a + 24
This simplifies to:
3a = 24
Now, you have the equation 3a = 24. To solve for "a," you need to isolate it by dividing both sides of the equation by 3. This will give you:
(3a)/3 = 24/3
Which simplifies to:
a = 8
So the solution to the equation 9a = 6(a + 4) is a = 8.