Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

Sagot :

[tex]4x-2y=48\\ \\ 2x+6y=-18[/tex]

First we'll multiply the second equation by -2


[tex]-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36[/tex]

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

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

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

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

Solution ;

(9, -6)


Panoyin
4x -  2y =  48 ⇒ 4x -    2y = 48
2x + 6y = -18 ⇒ 4x + 12y = -36
                                 -14y = 84
                                  -14    -14
                                       y = -6
                          4x - 2(-6) = 48
                            4x + 12 = 48
                                  - 12 - 12
                                    4x = 36
                                     4      4
                                      x = 9
                                (x, y) = (9, -6)
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.