Question

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

Answer 1

Systems of linear equations

Infinite amount of solutions

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.