Chapter 11, Problem 9RE

To determine

To solve: each system of the given equations using substitution or elimination.

Answer to Problem 9RE

Solution: No solution

Explanation of Solution

  $\{\begin{array}{l}x-3y+4=0\\ \frac{1}{2}x-\frac{3}{2}y+\frac{4}{3}=0\end{array}$

Multiply second equation by $2$

  $x-3y+\frac{8}{3}=0$

Now, the equation are

  $\begin{array}{l}x-3y=-4\\ x-3y=-\frac{8}{3}\end{array}$

The system is inconsistent.