Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit.

Answer:
Systems of linear equations
Infinite amount of solutions
Step-by-step explanation:
Step 1: Rearrange 1st equation
2y = -x + 10
6y = -3x + 30
Step 2: Multiply top equation by 3
6y = -3x + 30
6y = -3x + 30
Since they have the same slope and same y-intercept, they are both the same line. That means that the systems of linear equations has infinite amount of solutions.