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August 22, 2014

August 22, 2014

Posted by **Rebecca** on Tuesday, March 9, 2010 at 12:46am.

(a) 3y = x – 10

y = x – 2

(b)x + y = 5

3x + 3y = 15

- MATH214 -
**FredR**, Tuesday, March 9, 2010 at 4:43am(a) 3y = x - 10

substitute in the 2nd equation

3(x-2) = x - 10

3x - 6 = x - 10

simplifing...

2x = -4 or x = -2 and y = -4

this is a unique solution

(b) this system has infinitely many solutions and cannot be solved without more information.

3x + 3y = 15

divide equation by 3

(3/3)x + (3/3)y = 15/3 or

x + y = 5

so the equations are essentially identical.

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