To solve the equation b/13 - 9b/13 = 48/13, we can combine the like terms on the left side of the equation.
b/13 - 9b/13 can be simplified to (1 - 9b)/13.
So now, our equation becomes (1 - 9b)/13 = 48/13.
To isolate the variable, we can multiply both sides of the equation by 13:
13 * (1 - 9b)/13 = 13 * (48/13).
This simplifies to (1 - 9b) = 48.
Next, let's isolate the variable term by subtracting 1 from both sides of the equation:
(1 - 9b) - 1 = 48 - 1.
This simplifies to 1 - 9b - 1 = 47.
Simplifying further, we have -9b = 47.
To solve for b, we can divide both sides of the equation by -9:
-9b/-9 = 47/-9.
This simplifies to b = -47/9.
So the solution to the equation is b = -47/9.
To check our answer, we can substitute b = -47/9 back into the original equation:
(-47/9)/13 - 9(-47/9)/13 = 48/13.
(-47/9)*(1/13) - 9*(-47/9)*(1/13) = 48/13.
-47/117 - 9*(-47/117) = 48/13.
-47/117 + 423/117 = 48/13.
(-47 + 423)/117 = 48/13.
376/117 = 48/13.
We can see that both sides of the equation are equal, so our solution b = -47/9 is correct.
Solve the equation. Choose the method you prefer to use. Check your answer.
b/13 - 9b/13 = 48/13
1 answer