IDNStudy.com, ang iyong destinasyon para sa maaasahan at pangkomunidad na mga sagot. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng detalyadong sagot sa lahat ng iyong mga tanong.

determine the value of k so that the system 2x+5y=-8 and 6x+15y=k is dependent



Sagot :

 2x+5y=-8 and 6x+15y=k isdetermine the value of k so that the system 2x+5y=-8 and 6x+15y=k is dependent                                          6x+15y= -22
2x+5y=-8 and 6x+15y=k
Notice that when you multiply 2x by 3 you get 6x. And when you multiply 5y by 3 you get 15y. So when you multiply -8 by 3 you will get k which will be equal to -24.

Checking by elimination method:
 Equation 1 : 3(2x+5y=-8) --------> 6x+15y=-24
 Equation 2: 6x+15y=-24

If you subtract both the equations you will get 0=0 ( zero=zero) which is the property of a dependent system