Question

Use the linear equation 3(x+1)=3x+3 to answer parts (a)–(d).
Does x=5 satisfy the equation above? Explain.





Is x=-8 a solution of the equation above? Explain.






Is x=1/2 a solution of the equation above? Explain.





What interesting fact about the equation 3(x+1)=3x+3 is illuminated by the answers to parts (a), (b), and (c)? Why do you think this is true?

Answer 1

anyone?

Answer 2

help me?

Answer 3

please?

Answer 4

a) Yes. 3(5+1)=3(6)=18 ; 3(5)+3=15+3=18
b) Yes. 3(-8+1)=3(-7)=-21 ; 3(-8)+3=-24+3=-21
c) Yes. 3(1/2+1)=3(3/2)=9/2 ; 3(1/2)+3=(3/2)+(6/2)=9/2
d) I'm not entirely sure what they mean by interesting fact, that's pretty vague. Maybe that if you distribute the 3(x+1) you get 3x+3.