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Transcript
```Name:_____________________________________ Quiz Review
For question #s 1 – 4, solve the given system of linear equations and then determine if the system is consistent independent (one solution) ,
consistent independent(infinite solutions) or inconsistent (no solution).
1) y =
2) x – 4y = 8
3) y =
4) y = 2x – 6
x + 2y = 10
5x – 4y = – 8
4x – 6y = 12
10x – 5y = 30
For question #s 5 & 6, write the equation of the lines that are parallel and perpendicular to the given equation and that pass through the given
point.
5) 3x – 4y = 7 ; (12 , 5)
6) y =
; (– 6, 2)
7) write an equation of any line that is parallel to the y-axis.
8) write an equation of any line that is parallel to the x-axis.
9) Write an equation of any line that is perpendicular to the line x = 7. 10) Write an equation of any line that is perpendicular to the line y = – 5
KEY: 1) (2,4) consistent independent
5) parallel: y =
–
Perpendicular: y =
2) (– 4, –3) consistent independent
4) infinite solutions; consistent
Dependent
7) x = 7 (the 7 could be replaced by any # other than 0)
6) parallel: y =
perpendicular: y = – 6x – 34
9) y = 4 (the 4 could be replaced by any number)
3) no solution; inconsistent
8) y = – 3 (the – 3 could be replaced by any number other than 0)
10) x = – 15 (the – 15 could be replaced by any number)
```