Question

How many solutions does the system of equations have?

A.
The system has exactly one solution.

B.
The system has no solution.

C.
The system has infinitely many solutions.

Answer 1

Hi Brainiac

x+y=3

3x+3y=15

We need to solve for x+y=3 for x

So let's start by adding -y to both sides

x+y-y=3-y

x= -y+3

Now we need to substitute -y+3 for x in 3x+3y=15

3x+3y=15

3(-y+3)+3=15

9=15

Next, add -9

9-9 = 15-9

0=6

Answer: No Solutions

I hope that's help:0

Answer 2

The answer to your question is A. The system has exactly one solution.