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