To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:
From the first equation, we can express a in terms of b: a = b + 43
Substituting this expression into the second equation, we get: 125(b + 43) + 8b = -110
Expanding the equation, we have: 125b + 5375 + 8b = -110
Combining like terms, we have: 133b + 5375 = -110
Subtracting 5375 from both sides, we get: 133b = -5485
Dividing both sides by 133, we get: b = -5485/133
Simplifying the fraction, we have: b = -41.28 (rounded to two decimal places)
Now, substitute this value of b into the expression for a: a = (-41.28) + 43
Calculating this, we get: a = 1.72 (rounded to two decimal places)
So the solution to the system of equations is: a = 1.72 b = -41.28
