Question

How do you solve `23b+9=4b+66`?

Answer 1

b = 3

Explanation:

To solve this type of equation , collect terms with b to the left side and numbers to the right.
When terms are moved across the = we must remember to perform the opposite operation.The opposite of add is subtract.

example: 5 + 4 = 9 is an arithmetic equation.

If we leave the 5 on the left and move the 4 to the right then

5 = 9 - 4 . The equation is still true but note +4 on the left
becomes - 4 on the right.

The same applies for algebraic equations.

hence: 23b + 9 = 4b +66

becomes : 23b - 4b = 66 - 9

and simplifying : 19b = 57

Now we want to isolate b , but it is being multiplied by 19. We can take 19 from the left over to the right and do the opposite operation.

The opposite to multiplication is division.

`rArrb=57÷19=3 " or " b=57/19=3`