KelsyW36847 KelsyW36847
  • 31-10-2022
  • Mathematics
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Solve the given linear system of equations:6serбу9y– 120 +18One solution:O No solutionO Infinite number of solutions

Solve the given linear system of equations6serбу9y 120 18One solutionO No solutionO Infinite number of solutions class=

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ErvinW165376 ErvinW165376
  • 31-10-2022

no solution (2nd option)

Explanation:

8x - 6y = 6 .....equation 1

-12x + 9y = 18 .....equation 2

Using elimination method:

we will eliminate y by making both coefficient of y to be the same.

This is done by multiplying equation 1 by 3 and equation 2 by 2

24x - 18y = 18 .....equation 1

-24x + 18y = 36 ....equation 2

Adding both equation:

24x - 24x -18y + 18y = 18 + 36

0 + 0 = 54

[tex]\begin{gathered} 0\ne\text{ 54} \\ \end{gathered}[/tex]

Since 0 is not equal to 54, there is no solution (2nd option)

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