Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit. x + 2y = 10 6y = - 3x + 30

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Mathematics

Michelle Beck

19 January, 16:07

Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit. x + 2y = 10 6y = - 3x + 30

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Elianna Rubio · Answer 1

Answer: infinitely many solutions

Step-by-step explanation: 6y = - 3x + 30 rewrites to 3x + 6y = 30

1. align equations x + 2y = 10

3x + 6y = 30

2. multiply first equation by - 3 to get - 3x - 6y = - 30

3. align equations - 3x - 6y = - 30

3x + 6y = 30

4. add the equations and you they cancel out, which means infinitely many solutions