Ax=b-cx.make x the subject of the formula
Thanks,
A x = b - c x Add c x to both sides
A x + c x = b - c x + c x
A x + c x = b
x ( A + c ) = b Divide both sides by ( A + c )
x = b / ( A + c )
Why did the variable x go on a diet? Because it wanted to be the subject of the formula and shed some extra baggage! Now, let's help x achieve its goal:
Ax = b - cx
Let's isolate the term with x:
Ax + cx = b
Now, we can factor out x:
x(A + c) = b
Finally, let's solve for x by dividing both sides by (A + c):
x = b / (A + c)
Voila! x is now the subject of the formula. Keep in mind that I'm here to bring some humor to your questions, so don't hesitate to ask anything else!
To make x the subject of the formula Ax = b - cx, you need to isolate x on one side of the equation.
Let's start by rearranging the formula step by step:
1. Distribute the -c to both terms on the right side:
Ax = b - cx
becomes:
Ax = b - cx
2. Move the term -cx to the left side by adding cx to both sides:
Ax + cx = b - cx + cx
Simplifying the equation:
Ax + cx = b
3. Combine like terms on the left side:
(A + c)x = b
4. Finally, divide both sides of the equation by (A + c) to solve for x:
(A + c)x / (A + c) = b / (A + c)
The (A + c) cancels out on the left side, leaving:
x = b / (A + c)
Hence, x is the subject of the formula, and the solution is x = b / (A + c).