A ALEKS-Test #1 (Ch 2, 3, & 4 C secure https://www awa.aleks.com alekscgi/ lsl.e

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A ALEKS-Test #1 (Ch 2, 3, & 4 C secure https://www awa.aleks.com alekscgi/ lsl.exe/10 u-IgNslkasNW8D8A9PVVfie1cLr342MuxwOFSIn4CaHOBtJsfHYneJ7EtgEBOXSyMe4E3c1xkKp45 XnFRv MAT 1000-151 MWF 3pm Spring 18 Test #1 (Ch 2, 3, & 4) | 24 of 25 Faisal Español Two systems of equations are given below For each system, choose the best description of its solution If applicable, give the solution The system has no solution The system has a unique solution: x-3y = 3 -x + 3y = 3 O The system has infinitely many solutions. They must satisfy the following equation The system has no solution The system has a unique solution: -x + 3y =-9 x-3y = 9 The system has infinitely many solutions. They must satisfy the following equation: Submit Assignment 02018 McGraw-Hill Education, All Rights Reserved. Terms of Use l Privacy | Accessibility

Explanation / Answer

The first set of equations

x-3y = 3.....(1)

-x+3y = 3....(2)

multiply the first equation with -1, we get

-x+3y = -3....(1a)

Compare 2 and 1a.. Both equations are same but we are getting a solution as 3 = -3 which is not possible.

So, The system has no solution is the answer.

2)

Second set of equations

-x+3y = -9..(1)

x-3y = 9...(2)

Multiply equation 1 with -1 we get,

x-3y = 9...(1a)

Observe 2 and 1a and both represent the same line equation.

Thus, it can have many solutions. i.e for every value of x, there exists a y infinite times.

The system has infinitely many solutions is the answer.

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