Question

Which choice BEST describes the solution(s) for this system? −3x + 5y = −6 6x − 10y = 12

Answer 1

infinitely many solution

Answer 2

Answer: infinite solutions, Consistent & Dependent

Explanation:

-3x + 5y = -6 → 2(-3x + 5y = -6) → -6x + 10y = -12

6x - 10y = 12 → 1(6x - 10y = 12) → 6x - 10y = 12

0 = 0

TRUE

Since it is a TRUE statement, then there are infinite solutions. This is because the two equations are actually the same line. This means the two lines are CONSISTENT and DEPENDENT.