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notsponge [240]
3 years ago
6

Elimination method 4x-2y=48 2x+6y=-18

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
6 0
4x -  2y =  48 ⇒ 4x -    2y = 48
2x + 6y = -18 ⇒ <u>4x + 12y = -36</u>
                                 <u>-14y</u> = <u>84</u>
                                  -14    -14
                                       y = -6
                          4x - 2(-6) = 48
                            4x + 12 = 48
                            <u>      - 12 - 12</u>
                                    <u>4x</u> = <u>36</u>
                                     4      4
                                      x = 9
                                (x, y) = (9, -6)
yulyashka [42]3 years ago
4 0
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


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