# Chapter 9 - 9.2 - Two-Variable Linear Systes - 9.2 Exercises - Page 648: 54b

$y=-44.21x+89.53$

#### 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 $y=ax+b \implies y=-44.21x+89.53$

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