{"id":106,"date":"2022-04-13T10:00:43","date_gmt":"2022-04-13T10:00:43","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=106"},"modified":"2024-12-20T05:25:02","modified_gmt":"2024-12-20T05:25:02","slug":"e-4-find-the-number-of-solutions-to-a-pair-of-equations-by-graphing","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/e-4-find-the-number-of-solutions-to-a-pair-of-equations-by-graphing\/","title":{"rendered":"E.4 Find the number of solutions to a pair of equations by graphing"},"content":{"rendered":"\n

Solve a pair of equations by graphing: word problems<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

A system of two equations can be classified as follows:<\/p>\n\n\n\n

If the two lines are parallel, the system is inconsistent, with no solution.<\/p>\n\n\n\n

If the two lines intersect at one point, the system is consistent and independent, with one solution.<\/p>\n\n\n\n

If the two lines are the same, the system is consistent and dependent, with infinitely many solutions.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Graph these equations:
y=2x+1
y=2x+6
Click to select points on the graph.<\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

How many solutions do the simultaneous equations have?<\/p>\n\n\n\n