How do you solve the following system?: 9x +12y = 7 , -2x - 21y = -419x+12y=7,2x21y=41

1 Answer
Dec 19, 2017

x=-2.1andy=2.15x=2.1andy=2.15

Explanation:

Let,9x+12y=7..............(1)
-2x-21y=-41.................(2)
[(1)equationxx(-2)]:-18x-24y=-14...................(3)
[(2)equationxx(9)]:-18x-189y=-369.....................(4)

Now[(3)-(4)]:cancel(-18x)-24y+cancel(18x)+189y=-14+369

or,165y=355

so,y=2.15

Now substitute this value in (1)no. equation:

9x+12(2.15)=7

or,x=-2.1