Answer: The correct option is (B) \(10x=7.\)
Step-by-step explanation: The given equations are :
\(3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\)
We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.
Now, multiplying equation (i) by 3, we get
\(3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)\)
adding equation (iii) to equation (ii), we get
\((9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.\)
Thus, the required result is \(10x=7.\)
Option (B) is CORRECT.
