question_answer 3)

Solve the following equations by trial and error method. (i) \[\text{5p}+\text{2}=\text{17}\]                     (ii) \[3m-14=4\].                

Answer:

                (i) \[5p+2=17\]                

L.H.S.	Value of p	Value of L.H.S.	R.H.S.
\[5p+2\]	0	2	17
\[5p+2\]	1	7	17
\[5p+2\]	2	12	17
\[5p+2\]	3	17	17

          So, \[p=3\]is the solution of the given equation \[5p+2=17\] (ii) \[3m-14=4\]                

L.H.S.	Value of m	Value of L.H.S.	R.H.S.
\[3m-14\]	0	?14	4
\[3m-14\]	1	?11	4
\[3m-14\]	2	? 8	4
\[3m-14\]	3	?5	4
\[3m-14\]	4	?2	4
\[3m-14\]	5	1	4
\[3m-14\]	6	4	4

So, \[\text{m}=\text{6}\] is the solution of the given equation \[3m-14=4\].