document.write( "Question 397966: 8. Solve the system using Gauss-Jordan elimination.\r
\n" ); document.write( "\n" ); document.write( "-12x1 - 4x2 = -20
\n" ); document.write( "3x1 + x2 = -5
\n" ); document.write( " x1 = -4, x2 = 6
\n" ); document.write( " x1 = -3, x2 = 7
\n" ); document.write( " x1 = -4, x2 = 7
\n" ); document.write( " No solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9. Solve the system using Gauss-Jordan elimination.\r
\n" ); document.write( "\n" ); document.write( "-x1 + x2 - x3 = 5
\n" ); document.write( "x1 + x2 + 4x3 = -1
\n" ); document.write( "-3x1 + x2 + x3 = 11
\n" ); document.write( " x1 = -3, x2 = 2, x3 = 0
\n" ); document.write( " x1 = -3, x2 = 2, x3 = 1
\n" ); document.write( " x1 = -2, x2 = 1, x3 = 1
\n" ); document.write( " No solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10. Write the system as a matrix equation and solve using inverses.\r
\n" ); document.write( "\n" ); document.write( "x1 + 2x2 - x3 = -3
\n" ); document.write( "-2x1 - x2 + 3x3 = 0
\n" ); document.write( "-4x1 + 4x2 - x3 = -12
\n" ); document.write( " x1 = 2, x2 = -3, x3 = 1
\n" ); document.write( " x1 = 1, x2 = -2, x3 = 1
\n" ); document.write( " x1 = 1, x2 = -2, x3 = 0
\n" ); document.write( " x1 = 1, x2 = -3, x3 = 1\r
\n" ); document.write( "\n" ); document.write( "12. Solve the system.\r
\n" ); document.write( "\n" ); document.write( "x2 + y2 = 4
\n" ); document.write( "y - x = 2
\n" ); document.write( " (0, 2), (2, 0)
\n" ); document.write( " (0, 2), (-2, 0)
\n" ); document.write( " (0, -2), (2, 0)
\n" ); document.write( " (0, -2), (-2, 0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "13. Solve the system.\r
\n" ); document.write( "\n" ); document.write( "3x2 - 2y2 = -5
\n" ); document.write( "x2 + y2 = 25
\n" ); document.write( " (3, 4), (3, -4), (-3, 4), (-3, -4)
\n" ); document.write( " (4, 4), (5, 4), (3, -4), (1, –4)
\n" ); document.write( " (-3, 4), (1, 4), (-3, -4), (2, -4)
\n" ); document.write( " (1, 4), (2, –4), (–4, 3), (–3, –3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "14. Find the coordinates of the corner points using the following:\r
\n" ); document.write( "\n" ); document.write( "x - y = -2
\n" ); document.write( "2x + y = -1
\n" ); document.write( "x = -2
\n" ); document.write( " (-2, 0)
\n" ); document.write( " (-2, 0), (-1, 1)
\n" ); document.write( " (-2, 0), (-1, 1), (-2, 3)
\n" ); document.write( " (-1, 1), (-2, 3)
\n" ); document.write( "15. Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift.\r
\n" ); document.write( "\n" ); document.write( "Let B represent the amount Esther spends on Barb's gift and W represent the amount she spends on Wanda's gift. Write a system of linear inequalities that models the information.
\n" ); document.write( " B + W < 60
\n" ); document.write( "B < 20
\n" ); document.write( "W > 0
\n" ); document.write( " B + W > 60
\n" ); document.write( "B < 20
\n" ); document.write( "W > 20
\n" ); document.write( " B + W < 60
\n" ); document.write( "B > 0
\n" ); document.write( "W > 20
\n" ); document.write( " B + W > 60
\n" ); document.write( "B > 0
\n" ); document.write( "W > 20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "16. 2x + y < 20
\n" ); document.write( "x + 3y < 30
\n" ); document.write( "x, y > 0\r
\n" ); document.write( "\n" ); document.write( "Maximize z = 3x + 12y subject to the region.
\n" ); document.write( " Maximum value of 114 at (6, 8)
\n" ); document.write( " Maximum value of 60 at (20, 0)
\n" ); document.write( " Maximum value of 120 at (0, 10)
\n" ); document.write( " Maximum value of 30 at (10, 0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "17. 2x + y > 14
\n" ); document.write( "x + 3y < 12
\n" ); document.write( "x, y > 0\r
\n" ); document.write( "\n" ); document.write( "Minimize z = 3x + 5y subject to the given region.
\n" ); document.write( " Minimum value of 20 at (0, 4)
\n" ); document.write( " Minimum value of 21 at (7, 0)
\n" ); document.write( " Minimum value of 28 at (6, 2)
\n" ); document.write( " Minimum value of 36 at (12, 0)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "18. x + 2y < 18
\n" ); document.write( "x + y < 10
\n" ); document.write( "2x + y < 18
\n" ); document.write( "x, y > 0\r
\n" ); document.write( "\n" ); document.write( "Maximize z = 3x + 4y subject to the given region.
\n" ); document.write( " Maximum value of 42 at (6, 6)
\n" ); document.write( " Maximum value of 38 at (2, 8)
\n" ); document.write( " Maximum value of 36 at (0, 9)
\n" ); document.write( " Maximum value of 32 at (8, 2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "19. x + 2y < 18
\n" ); document.write( "x + y > 10
\n" ); document.write( "2x + y < 18
\n" ); document.write( "x, y > 0\r
\n" ); document.write( "\n" ); document.write( "Minimize z = 3x + 5y subject to the given region.
\n" ); document.write( " Minimum value of 27 at (9, 0)
\n" ); document.write( " Minimum value of 45 at (0, 9)
\n" ); document.write( " Minimum value of 34 at (8, 2)
\n" ); document.write( " Minimum value of 0 at (0, 0)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #281976 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is way too many questions to post. I recommend you find an example of how to solve such a question in your textbook (or online), and use that example to solve all the other problems. \n" ); document.write( "

\n" );