question_answer 1)

(a) Construct 3 equations starting with \[x=2\] (b) Construct 3 equations starting with  \[x=-\text{ }2\].                

Answer:

                (a) 1. Start with \[x=2\] Multiply both sides by 3, \[3x=6\] Subtract 2 from both sides, \[3x-2=4~\]                       ... (1) 2.            Start with \[x=2\] Multiply both sides by 4, \[4x=8\] Add 5 to both sides,        \[4x+5=13\]                        ... (2) 3.            Start with \[~x=2\] Multiply both sides by 5 \[5x=10\] Subtract 1 from both sides, \[5x-1=9~~~\]                   ... (3) (b) 1. Start with \[x=-\text{ }2\] Multiply both sides by 3, \[3x=-6\] Subtract 2 from both sides, \[3x-2=-8\]                         ... (1) 2.            Start with \[x=-\text{ }2\] Multiply both sides by 5, \[5x=-10\] Subtract 1 from both sides, \[5x-1=-11\]                       ... (2) 3.            Start with \[x=-\text{ }2\] Multiply both sides by 4, \[4x=-\text{ }8\] Add 5 to both sides \[4x+5=-3\]                        ? (3)