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

$\{(s,t)\ |\ t=4-2s\}$
Variable $t$ is isolated in eq.$1$ $t=4-2s\qquad$(*) Replace $t$ with $4-2s$ in the other equation: $(4-2s)+2s=6\qquad$ ... and solve for $s$. Simplify $6=6\qquad$ ... always true, there are infinitely many solutions This is the case where both equations have graphs that coincide. All points on that common line have coordinates that satisfy both equations. We can describe this set as $\{(s,t)\ |\ t=4-2s\}$