Question

Mai and Tyler work on the equation 25b+1=-11 together. Mai's solution is b=-25 and Tyler's is b=-28. Here is their work:

Mai:
25b+1=-11
25b=-10
b=-10⋅52
b=-25

Tyler:
25b+1=-11
2b+1=-55
2b=-56
b=-28

Do you agree with their solutions? Explain or show your reasoning.

Answer 1

b = -30

Explanation:

The reason why I disagreed with both equation's is because they both did something wrong in the equation the correct answer will be b= -30. First thing I did was write out the equation 2/5b + 1 = -11 then what I did was cancel out the 1 which is subtracting and remember when you subtract one side you did with the other so I also subtracted (add) 1 to -11 which got me -12 so now my equation is 2/5b = -12. Now I got to cancel out the 2/5b so what I did was multiply the fraction by it's reciprocal and if you do that to one side you do that to the other, then -12 * 5 is -60 then divide by 2 which is -30. So the final answer is b = -30.

I did this for my homework and it was graded correctly hopefully I wasn't to late :)

Answer 2

-12/25

Explanation:

the both solutions are incorrect.

The correct solution is:

25b= -11-1;

25b=-12;

b=-12/25 or b= -0.48