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

$(5,1)$
For each equation plot x- and y-intercepts and join with a straight line. $\left[\begin{array}{lll} & x-int. & y-int.\\ & y=0 & x=0\\ & & \\ x+y=6 & x=6 & y=6\\ & (6,0) & (0,6)\\ & & \\ x-y=4 & x=4 & -y=5\\ & (4,0) & (0,-5) \end{array}\right]$ Graphically solving: $x=5,\ y=1$. Checking:$\qquad \left\{\begin{array}{l} 5+1=6\\ 5-1=4 \end{array}\right.$ both equations are satisfied, $(5,1)$ is the solution.