{a-b=43 {125a+8b=-110

To solve this system of equations, we can use the method of elimination.

First, let's multiply the first equation by 8 to make the coefficient of b the same in both equations:

8(a - b) = 8(43) 8a - 8b = 344

Now, we can rewrite the system of equations:

8a - 8b = 344 125a + 8b = -110

Adding the two equations together will eliminate the variable b:

8a - 8b + 125a + 8b = 344 - 110 133a = 234

Dividing both sides by 133:

a = 234/133

a ≈ 1.7594

Now, substitute the value of a back into one of the original equations. Let's use the first equation:

a - b = 43

1.7594 - b = 43

Subtracting 1.7594 from both sides:

-b = 43 - 1.7594 -b = 41.2406

Multiplying both sides by -1 to solve for b:

b = -41.2406

So the solution to the system of equations is:

a ≈ 1.7594 b ≈ -41.2406