Equivalent equations are equations that have the same solution
The equation equivalent to [tex]-k + 0.03 + 1.01k = -2.45 - 1.81k[/tex] is [tex]-100k + 3 + 101k = -245 - 181k[/tex][tex]-16+37i[/tex]
The equation is given as:
[tex]-k + 0.03 + 1.01k = -2.45 - 1.81k[/tex]
Collect like terms in the above equation
[tex]-k + 1.01k + 0.03 = -2.45 - 1.81k[/tex]
Evaluate like terms
[tex]0.01k + 0.03 = -2.45 - 1.81k[/tex]
Multiply through by 100 in the above equation
[tex]k + 3 = -245 - 181k[/tex]
Express k as -100k + 101k
[tex]-100k + 101k + 3 = -245 - 181k[/tex]
Rewrite as:
[tex]-100k + 3 + 101k = -245 - 181k[/tex]
Hence, the equation equivalent to [tex]-k + 0.03 + 1.01k = -2.45 - 1.81k[/tex] is [tex]-100k + 3 + 101k = -245 - 181k[/tex][tex]-16+37i[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
