Question

Consider this system of equations and the partial solution below

Answer 1

Answer:

A

Step-by-step explanation:

-6 and 6

Answer 2

Answer:

A. -6 y and 6 y   terms will cancel when we add the resulting system of equations.

Step-by-step explanation:

Here, the system of equations is given as:

6 x + 2 y = 6    ............ (1)

7 x + 3 y = 9   ............  (2)

Now, multiplying (1) by (-3) , we get

(-3)6 x + (-3) 2 y =  (-3) 6  

⇒  -18 x  - 6 y  = -18

And, multiplying (2) by (2) , we get

(2)7 x + (2) 3 y =  (2) 9

⇒  14 x  + 6 y  = 18

Now, adding  both the  resulting equations, we get

( -18 x  - 6 y)  + (14 x  + 6 y )  =  -18  + 18

or,  ( -18 x  +  14 x )   + (   6 y - 6 y )  =  -18  + 18

or, -4  x  = 0

Hence, the terms + 6 y is cancelled with - 6 y  in Left side

and term 18  is cancelled with - 18  on Right Side.

Hence, the option A. is the correct option.