## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$(2,-1)$
For each equation find two points, plot them and join with line. $3x+y=5 \Rightarrow y=-3x+5 \rightarrow\left[\begin{array}{l} (0,5)\\ (1,2) \end{array}\right]$ $x-2y=4 \Rightarrow \left[\begin{array}{llll} x=0 & \Rightarrow y=-2 & \rightarrow & (0,-2)\\ y=0 & \Rightarrow x=4 & \rightarrow & (4,0) \end{array}\right]$ Graphically solving: $x=2,\ y=-1$. Checking:$\qquad \left\{\begin{array}{lll} 3(2)+(-1)=1 & \Rightarrow & 6-1=5\\ & & \\ 2-2(-1)=4 & \Rightarrow & 2+2=4 \end{array}\right.$ both equations are satisfied, $(2,-1)$ is the solution.