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kirill115 [55]
3 years ago
5

Solve the following system of equations?

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
1x + 3y - 1z = 2    ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7    ⇒ <u>1x - 2y + 3z = 7</u>
1x + 2y - 5z = -21             5y - 4z = -5
                                                                     5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2                                          -4y + 8z = -28 ⇒ <u>-20y -  40z = -140</u>        <u> </u>1x - 2y + 3z = 7     ⇒ 1x - 2y + 3z = 7                                              <u>-24z</u> = <u>-120</u>
1x + 2y - 5z = -21 ⇒ <u>1x + 2y - 5z = -21</u>                                            -24      -24
                                       -4y + 8z = -28                                                  z = 5
                                                                                                    5y - 4(5) = -5
                                                                                                      5y - 20 = -5
                                                                                                       <u>    +20   +20</u>
                                                                                                             <u>5y</u> = <u>15</u>
                                                                                                              5      5
                                                                                                               y = 3
                                                                                                x + 3(3) - 5 = 2
                                                                                                    x + 9 - 5 = 2
                                                                                                         x + 4 = 2
                                                                                                        <u>      -4  -4</u>
                                                                                                               x = -2
                                                                                                      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).
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