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aliina [53]
3 years ago
14

Elimination

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0
2x -  4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9   ⇒ <u>1x + 2y + 3z = 9</u>
3x         + 5z = 12       1x - 2y - 2z = 2
                                                                     1x -  2y - 2z = 2
2x -  4y + 1z = 11                                        <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9                    x - 4z = 1
3x         + 5z = 12 ⇒ <u>3x         + 5z = 12</u>          x - 4z + 4z = 1 + 4z
                                 -2x + 2y - 2z = -3                         x = 1 + 4z
                                                     <u />          1 + 4z - 2y - 2z = 2<u />
                                                               1 - 2y + 4z - 2z = 2
                                                                      1 - 2y + 2z = 2
                                                                    <u>- 1                 - 1</u>   
                                                                          -2y + 2z = 1
                                                                   -2y + 2z - 2z = 1 - 2z
                                                                                  <u>-2y</u> = <u>1 - 2z</u>
                                                                                   -2        -2
                                                                                     y = -0.5 + z
                                                         x + 2(-0.5 + z) - 2z = 2
                                                            x - 1 + z - 2z + 2 = 2
                                                                         x - 1 + z = 2
                                                                         <u>  + 1       + 1</u>
                                                                              x + z = 3
                                                                         x - x + z = 3 - x
                                                                                    z = 3 - x
                                                                      
                                            
<u />
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