Question

2. Two equivalent expressions are shown in the equation

where and are both integers.
a(3x + 4) = b + 6x
What are the values of and ?

Answer 1

To find the value of 'x' in the equation a(3x + 4) = b + 6x, we can rearrange the equation to isolate the variable 'x' by subtracting 6x from both sides and factoring out 'x'. To find the values of 'a' and 'b', we need more information or another equation.

Step-by-step explanation:

Given the equation a(3x + 4) = b + 6x, we can distribute the 'a' on the left side to get 3ax + 4a = b + 6x. Next, we can subtract 6x from both sides to isolate the variables: 3ax - 6x + 4a = b. Now, we can factor out 'x' from the left side to get x(3a - 6) + 4a = b. Finally, we can rearrange the equation to solve for 'x':

x = -4a / (3a - 6)

To find the value of 'a' and 'b', we need more information or another equation.