# Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 818: 33

The system has infinitely many solutions.

#### Work Step by Step

So, from equation (I) put the value of y in equation (II) and solve for x, \begin{align} & 21x-35=7\left( 3x-5 \right) \\ & 21x-35=21x-35 \end{align} $35=35$ (III) And according to equation (III), $35=35$ indicates that the system has infinitely many solutions.

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