Question

Select the ordered pair from the choices below that is a solution to the following system of equations:

-7x + 6y = 11
8x − 3y = -1

Answer 1

multiply 2nd equn. by 2
16x - 6y = -2
add this to 2nd equn.
9x = 9
x = 1
plug this into 2nd equn.
8 - 3y = -1
3y = 9
y=3

ordered pair is (1.3)

Answer 2

(1)-7x+6y=11
(2)8x-3y=-1=> (x2)=> 16x-6y=-2

(1)+[(2)x2]=> -7x+16x+6y-6y=11-2=>9x=9=>x=1

(1) for x=1=>y=3

so (1.3)