Why women dont pay for child support if they have a better income and they are the one who cheated , i think they should

So if women lost custody of her children to her husband and she have a better job why she is not obliged by the law to pay for child support ! Women calling for equal rights ! Right so what the fuck is this , And if she cheats why the man have to lose the house and pay for children support even she have a job and she is the one who broke the rules of marriage !