Which line shows the first error in the solution? 5(x-5)=15 (1) 5x-25=15 (2) 5x-25=15-25 (3) 5x= -10 (4) 5x/5 = -10/5 (5) x=-2 (6) Answers: A. line 2 B line 3 C. line 4 D. line 5
\(5(x-5)=15\\5x-25=15\ \ (ok)\\5x-25=15-25\ \ \ the\ first\ error\ in\ the\ solution\\ \\Ans.\ B\ line\ 3\)
Answer : B. line 3
5(x-5)=15 ----> 1
We remove the parenthesis by distributing 5 inside the parenthesis.
5x - 25 = 15 ----> 2
To get rid of -25, add 25 on both sides
5x - 25 + 25 = 15 + 25 ----> 3
5x = 40 ----> 4
Divide by 5 on both sides
x = 8
From the given options we can see that there is a error in line 3.
Instead of adding 25 , they subtracted 25
So line 3 shows the first error.