Chapter 3.1, Problem 22ES

Matching. Each of Exercises 21–26 shows the graph of a system of equations and its solution. First, classify the system as consistent or inconsistent and the equations as dependent or independent. Then match it with one of the appropriate systems of equations (A)–(F), which follow.

A. $\begin{array}{l}3y-x=10,\\ x=-y+2\end{array}$

B. $\begin{array}{l}9x-6y=12,\\ y=\frac{3}{2}x-2\end{array}$

C. $\begin{array}{l}2y-3x=-1,\\ x+4y=5\end{array}$

D. $\begin{array}{l}x+y=4,\\ y=-x-2\end{array}$

E. $\begin{array}{l}\frac{1}{2}x+y=-1,\\ y=-3\end{array}$

F. $\begin{array}{l}x=3,\\ y=3\end{array}$

Solution: $\left(1,1\right)$