Madison created this solved this proof. She wants to know if she solved it correctly. After looking at the proof, decide whether she solved the proof correctly. If she did not explain why it is incorrect and correct it.

Given : 4 (5n + 7) - 3n = 3 (4n - 9) Prove: n=-11

Statements Reasons

4 (5n + 7) - 3n = 3 (4n - 9) Given

20n + 28 - 3n = 12n - 27 Distributive Property

17n + 28 = 12n - 27

Simplify

5n + 28 = - 27 Addition Property of Equality

5n = - 55 Multiplication Property of Equality

n = - 11 Division Property of Equality

Question

Mathematics

Damion Velazquez

22 December, 14:43

Madison created this solved this proof. She wants to know if she solved it correctly. After looking at the proof, decide whether she solved the proof correctly. If she did not explain why it is incorrect and correct it.

Given : 4 (5n + 7) - 3n = 3 (4n - 9) Prove: n=-11

Statements Reasons

4 (5n + 7) - 3n = 3 (4n - 9) Given

20n + 28 - 3n = 12n - 27 Distributive Property

17n + 28 = 12n - 27

Simplify

5n + 28 = - 27 Addition Property of Equality

5n = - 55 Multiplication Property of Equality

n = - 11 Division Property of Equality

+3

Answers (1)

Know the Answer?

Nathanial Deleon · Answer 1

answer: madison correctly solved the equation, but step 3 should be subtraction property of equality.

work: to start off, madison correctly used the distributive property in step one. She also correctly simplified in step two. Step three is where she messed up. somehow, she put "Multiplication Property of Equality" when she actually used the subtraction property of equality. step 3 and step 4 were still correctly solved, though.