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 have a - b = 43. Rearranging this equation, we can express a in terms of b as a = 43 + b.
Substitute this expression for a into the second equation: 125a + 8b = -110 125(43 + b) + 8b = -110
Now, simplify the equation: 5375 + 125b + 8b = -110 133b = -5495 b = -5495/133 b ≈ -41.28
Now substitute the value of b back into the first equation to find a: a - (-41.28) = 43 a + 41.28 = 43 a = 43 - 41.28 a ≈ 1.72
Therefore, the solution to the system of equations is a ≈ 1.72 and b ≈ -41.28.
