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shusha [124]
3 years ago
8

Solve, using the substitution method.

Mathematics
2 answers:
DedPeter [7]3 years ago
6 0
Y = 2x + 6 ⇒ 2x - y = -6 ⇒ 6x - 3y = -18
3x - y = 6 ⇒ 3x - y = 6   ⇒ <u>6x - 2y = 18</u>
                                                   -y = -36
                                                    y = 36
                                          2x - 36 = -6
                                          <u>     +36  +36</u>
                                                 <u>2x</u> = <u>30</u>
                                                  2      2
                                                   x = 15
                                             (x, y) = (15, 36)
-----------------------------------------------------------------------------------------------
1y - 2x = 8    ⇒ -2x + 1y = 8   ⇒ 4x - 2y = -16
16 + 4x = 2y ⇒  4x - 2y = -16 ⇒<u> 4x - 2y = -16</u>
                                                           <u>8x</u> = <u>0</u>
                                                            8     8 
                                                             x = 0
                                                  4(0) - 2y = -16
                                                      0 - 2y = -16
                                                          <u>-2y</u> = <u>-16</u>
                                                           -2       -2
                                                             y = 8
                                                       (x, y) = (0, 8)
artcher [175]3 years ago
5 0
Y = 2x + 6 ;
y = 3x - 6 ;
2x + 6 = 3x - 6 ;
2x - 3x = - 6 - 6 ;
-x = - 12 ;
x = 12 ;
y = 2*12 + 6 ;
y = 30 ;
The solution is ( 12 , 30 ) ;
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