Question

The system of equations shown is solved using the linear combination method

Answer 1

Answer: When a system of two linear equations gives an answer of $0=0$, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.

Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:

1. When you get an exact value & number for x and y, the system has one solution and is consistent/independent.

2. When you get $0=0$ like in this case, the system has infinitely many solutions and is consistent/dependent.

3. When you get numbers that are not equal, for example, $3\neq 5$, you have many solutions and the system is inconsistent/independent.