Two lines, A and B, are represented by the following equations:


Line A: 3x + 3y = 12

Line B: x + y = 4


Which statement is true about the solution to the set of equations?



It is (12,4).

There are infinitely many solutions

It is (4,12).

There is no solution

Verified Answer :

TSO

Let's simplify equation Line A

3x + 3y = 12

3(x + y) = 3(4)

Divide 3 on both sides

x + y = 4

Now let's compare Line A and B again.

Line A: x + y = 4 
Line B: x + y = 4 

Both lines are exactly the same!

So that means any point that works in Line A should also work in Line B! That means it has infinitely many solutions! :)

Your answer is: 
There are infinitely many solutions.

I hope that helps! :D

Answer:

There are infinitely many solutions.