Answer
$y=-44.21x+89.53$
Work Step by Step
Multiply the first equation by $3.7$ and multiply the second equation by $-3$.
Therefore, the system of two equations is:
$11.1 b+13.69 a=388.50 \\ -11.1b-14.07a=-371.70$
Add both equations.
This yields $-0.38 a=16.80 \implies a=-44.21$
Substitute the value of $a$ in the first equation to get the value of $b$.
Thus, $3.00b+3.70(-44.21)=105.00 \implies b=89.53$
So, we have $y=ax+b \implies y=-44.21x+89.53$