Final answer:
To solve the equation (43 + a + b) / 7 = 8, you multiply both sides by 7, subtract 43 from both sides, and simplify to get a + b = 13. Without additional information about a or b, it is not possible to determine the individual values of a and b.
Step-by-step explanation:
To solve the equation (43 + a + b) / 7 = 8, we need to isolate the variables a and b on one side of the equation. Here's how you do it:
- Multiply both sides by 7 to get rid of the denominator: 43 + a + b = 56.
- Subtract 43 from both sides to get a + b on its own: a + b = 56 - 43.
- Simplify the right side of the equation: a + b = 13.
Now, the equation a + b = 13 is a simplified expression with two variables. The question does not provide enough information to solve for a and b individually, as infinite combinations of numbers can add up to 13 (for example, a = 9 and b = 4, or a = 5 and b = 8, and so on).