ALEKS-Leam-Jennifer www-awa aleks.com/alekscgi nle e/1o u IgNsikasNw8D8ASpWR O S

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ALEKS-Leam-Jennifer www-awa aleks.com/alekscgi nle e/1o u IgNsikasNw8D8ASpWR O SYSTEMS OF LINEAR EQUATIONS Solving a 2x2 system of linear equations that is inconsistent or. O The system has no solution. O The system has a unique solution: -x + 3y = 9 x+3y = 9 x,y) = O The system has infinitely many solutions. They must satisfy the following equation O The system has no solution. O The system has a unique solution: x+4y-8=0 The system has infinitely many solutions. They must satisfy the following equation: Explanation Check Type here to search

Explanation / Answer

Soln.

A)

-x + 3y = 9

x + 3y = 9

Adding both equations

6y = 18

y = 3

x = 0

The system has unique soln.(x,y) = (0,3)

B)

-x - 4y = -8 ( i )

x + 4y + 8 = 0 (ii)

Adding (ii) and (i) we get

8 = -8

Therefore

System has no soln.

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