Question

Solve the equations for x.
ax-b=4
if a doesn’t equal 0

Answer 1

To solve the equation ax-b=4 for x, add b to both sides and then divide by a. This yields x = (4+b)/a as long as a is not equal to 0.

Step-by-step explanation:

To solve the equation ax-b=4 for x, where a is not equal to 0, follow these steps:

1. Add b to both sides of the equation to isolate terms containing x on one side:
2. ax-b+b = 4+b
3. ax = 4+b
4. Divide both sides of the equation by a to solve for x:
5. 
   `x = \((4+b)/(a)\)`

Since a does not equal zero, division by a is valid. These steps demonstrate that whatever you do to one side of the equation, you must do to the other to maintain balance.

Answer 2

To solve for x, we need to isolate x on one side of the equation.

Starting with the equation:

ax - b = 4

We can add b to both sides:

ax = b + 4

Next, we can divide both sides by A:

x = (b + 4) / a

Therefore, the solution for x is:

x = (b + 4) / a

Note that this solution is always defined since a cannot be equal to 0 (as stated in the problem statement).

Step-by-step explanation: