standard_description: Graph the solutions to a linear inequality in two variables as a half plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
problem_activity: Problem 1
Solve the system of linear equations using substitution. Describe how you can solve any system using substitution.
$${x+2y=8}$$
$${-3x+2y=16}$$
Problem 2
Solve the two systems below using substitution. Compare and contrast the two solutions. What do they each mean?
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "System A"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "System B"}]}]}, {"td": [{"p": [{"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${y=2(-x+3)}$$"}]}, {"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2x+y=4}$$"}]}]}, {"p": [{"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${5x+20y=15}$$"}]}, {"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${x+4y=3}$$"}]}]}]}]}]}]}


aligns: no