# Chapter 1 - Systems of Linear Equations - Review Exercises - Page 35: 16

Inconsistent.

#### Work Step by Step

40$x_{1}$ + 30$x_{2}$ = 24 20$x_{1}$ + 15$x_{2}$ = -14 Multiply second equation by (-2) then add it to the first. 40$x_{1}$ + 30$x_{2}$ = 24 -40$x_{1}$ - 30$x_{2}$ = 28 0 = 52 0 $\ne$ 52, so it has no solution

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