Question

How many solutions does the system have?

x+y=3
5x + 5y = 15
Choose 1 answer:
A. Exactly one solution
B. No solutions
С. Infinitely many solutions

Answer 1

If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.

Answer 2

C)

Explanation:

The answer is infinitely many solutions

because a1/a2 = b1/b2 = c1/c2.

Hope it helps :)