To state:
If the given statement is true for the given system of linear equations always, sometimes, or never.
The given statement is sometimes true.
Given:
The system of linear equations:
The statement:
If
Concepts Used:
If the equation of a line is expressed as
If two lines have different slopes then the solutions of the system of these two lines has only one solution.
If two lines have equal slopes and their
If two lines have equal slopes and their
Calculations:
If
Comparing the lines with
Two cases are possible.
Case I: if the
The lines have both the slopes and the intercepts equal. Thus, they have infinitely many solutions.
Case II: if the
The lines have equal slopes but the intercepts are not equal. Thus, they have no solution.
Conclusion:
There is one case
Thus, the given statement that “If
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forwardSo confused. Step by step instructions pleasearrow_forwardIn simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forward
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