Substitution Property - How To Solve 3m = n - 7

The video tutorial presents a math problem involving finding the set of possible values for M given a set of values for N and the equation 3M = N - 7. The instructor demonstrates solving for M by isolating the variable and using substitution with the given values of N. The process involves simplifying fractions and checking against multiple-choice options. The tutorial concludes with confirming the correct answer and explaining the substitution property.

What is the first step in solving for M in the equation 3m = n - 7?

• Multiply both sides by 3

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 3

What is the value of M when N is substituted with -2?

• 0

• -3

• -2

• -1

Which mathematical property allows the replacement of a variable with a known value?

• Associative Property

• Distributive Property

• Commutative Property

• Substitution Property

What is the value of M when N is substituted with +1?

• 0

• -1

• -2

• +1

What is the final set of possible values for M?

• -2, -1, 0

• -3, -1, 0

• -3, -2, -1

• -1, 0, +1