solve ax -3x + 5 = a+b for x. state any restrictions on the variables.
To solve the equation ax - 3x + 5 = a + b for x, we need to isolate the variable x on one side of the equation.
First, let's gather all the terms involving x on one side:
ax - 3x = a + b - 5
Next, we can factor out x:
x(a - 3) = a + b - 5
To solve for x, we divide both sides of the equation by (a - 3):
x = (a + b - 5) / (a - 3)
Therefore, the solution for x is (a + b - 5) / (a - 3).
Now, let's discuss the restrictions for the variables.
1. The denominator (a - 3) should not equal zero, as division by zero is undefined. So, a - 3 ≠ 0. This means a should not be equal to 3.
Therefore, the restriction on the variable 'a' is a ≠ 3.