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Show that following system of linear equations is inconsistent: `2x+5y=7,\ \ 6x+15 y=13`

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To show that the given system of linear equations is inconsistent, we will analyze the equations step by step. ### Given Equations: 1. \( 2x + 5y = 7 \) (Equation 1) 2. \( 6x + 15y = 13 \) (Equation 2) ### Step 1: Manipulate Equation 1 We can manipulate Equation 1 to express it in a form that can be compared with Equation 2. Let's multiply Equation 1 by 3: ...
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RD SHARMA-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-Solved Examples And Exercises
  1. Show that each of the following systems of linear equations is cons...

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  2. Show that the following system of equations is consistent. x-y+z=3,2x+...

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  3. Show that following system of linear equations is inconsistent: 2x+...

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  4. Show that following system of linear equations is inconsistent: 2x+...

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  5. Use matrix method to examine the following system of equations for con...

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  6. Show that following system of linear equations is inconsistent: 4x-...

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  7. Show that following system of linear equations is inconsistent: 3x-...

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  8. Show that following system of linear equations is inconsistent: x+y...

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  9. If A\|(1,2,0),(-2,-1,-2),(0,-1,1)|, then find the value of A^(-1) Us...

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  10. If A=|(2,2,-4),(-4,2,-4),(2,-1,5)| and B=|(1,-1,0),(2,3,4),(0,1,2)| th...

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  11. A school wants to award its students for the value of honesty, regular...

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  12. Two schools P and Q want to award their selected students on the va...

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  13. Two schools P and Q want to award their selected students on the value...

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  14. A shopkeeper has 3 varieties of pens ' A^(prime),\ ' B ' and ' C '. M...

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  15. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  16. Find the solution of homogeneous system of equations: x -2y +z =0; x +...

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  17. Solve the following system of homogeneous linear equations by matrix...

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  18. Solve the following system of homogeneous linear equations by matri...

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  19. Solve the following system of homogeneous linear equations by matri...

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  20. Solve the following system of homogeneous linear equations by matri...

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