Answer:
Option B is correct.
The result is, 10x=7
Step-by-step explanation:
Given the system of equation:
\(3x +y =3\) ......[1]
\(x -3y = -2\) .......[2]
As per the statement: If the first equation is multiplied by 3 and then the equations are added.
Multiply equation [1] by 3 on both sides, we get
\(3(3x +y)=3\cdot 3\)
Using distributive property: \(a\cdot (b+c) = a\cdot b + a\cdot c\)
\(9x + 3y = 9\) .....[3]
Now, add equation [3] and [2], to eliminate y we get;
\(9x + 3y + x - 3y = 9 -2\)
\(10x = 7\)
Therefore, if the first equation is multiplied by 3 and then the equations are added, the result is, 10x = 7
