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.
