OK, I'll use the bible for this problem.
Concerning the verses commanding women to be submissive and quiet,
1 Corinthians 14:34-38 NASB
34 The women are to keep silent in the churches; for they are not permitted to speak, but are to subject themselves, just as the Law also says. 35 If they desire to learn anything, let them ask their own husbands at home; for it is [n]improper for a woman to speak in church. 36 [o]Was it from you that the word of God first went forth? Or has it come to you only?
37 If anyone thinks he is a prophet or spiritual, let him recognize that the things which I write to you are the Lord’s commandment. 38 But if anyone does not recognize this, he [p]is not recognized.
*Notice the broader context of the chapter is order in worship. God clearly considers the role of women in church to be up there with prophecy and tongues in having good order to a congregation.
*Notice God goes directly into a challenge to all who would negate this command. The warning is most severe, to be an unrecognized prophet or spiritual person.
*Notice that the word for church is the Ekklesia, which is a congregation or assembly of the saints. This applies whenever believers are gathered.
ἐκκλησία | billmounce.com
This is not the whole story in 1 Corinthians though, we now go to:
1 Corinthians 11:2-16 NASB
2 Now I praise you because you remember me in everything and hold firmly to the traditions, just as I delivered them to you. 3 But I want you to understand that [a]Christ is the head of every man, and the man is the head of a woman, and God is the head of Christ. 4 Every man who has something on his head while praying or prophesying disgraces his head. 5 But every woman who has her head uncovered while praying or prophesying disgraces her head, for she is one and the same as the woman [c]whose head is shaved. 6 For if a woman does not cover [d]her head, let her also [e]have her hair cut off; but if it is disgraceful for a woman to [f]have her hair cut off or [g]her head shaved, let her cover [h]her head. 7 For a man ought not to have his head covered, since he is the image and glory of God; but the woman is the glory of man. 8 For man does not originate from woman, but woman from man; 9 for indeed man was not created for the woman’s sake, but woman for the man’s sake. 10 Therefore the woman ought to have a symbol of authority on her head, because of the angels. 11 However, in the Lord, neither is woman [j]independent of man, nor is man [k]independent of woman. 12 For as the woman [l]originates from the man, so also the man has his birth through the woman; and all things [m]originate from God. 13 Judge [n]for yourselves: is it proper for a woman to pray to God with her head uncovered? 14 Does not even nature itself teach you that if a man has long hair, it is a dishonor to him, 15 but if a woman has long hair, it is a glory to her? For her hair is given to her for a covering. 16 But if one is inclined to be contentious, we have no [o]other practice, nor have the churches of God.
*Notice women are allowed to pray and prophesy(more or less a defunct function for now) in a congregation
*Notice that women are to have a symbol of authority on their head when doing either. The explanation immediately given is for the angels, which is a lost explanation sadly.
*Notice these two rules are meshed together that women can pray and prophesy in church requires a symbol of authority on their head.
*Yes I go this far as applying such an "archaic" practice to the today because of verse 16. Paul makes this a practice of all the churches of God and calls out any who would say otherwise. Of course, bear with the brethren who laugh at such an assertion because of the modern world.
1 Timothy 2:9-15
9 Likewise, I want women to adorn themselves with proper clothing, [g]modestly and discreetly, not with braided hair and gold or pearls or costly garments, 10 but rather by means of good works, as is proper for women making a claim to godliness. 11 A woman must quietly receive instruction with entire submissiveness. 12 But I do not allow a woman to teach or exercise authority over a man, but to remain quiet. 13 For it was Adam who was first [h]created, and then Eve. 14 And it was not Adam who was deceived, but the woman being deceived, fell into transgression. 15 But women will be [j]preserved through the bearing of children if they continue in faith and love and sanctity with [k]self-restraint.
*Notice women are expected to be modest and discreet with their choice of clothing. The articles mentioned are cultural, but jewelry indicating status is likely one that still applies to the Western World. This is important to note since Indian Christians with the famous missionary Amy Carmichael went without wearing tons of jewelry as a sing of status. They wore what was needed to indicate basic things like being married due to this command. Regardless, good deeds are the true raiment of a Christian woman.
*Women are commanded to learn in submissiveness.
*They are then immediately exhorted not to teach or hold authority over men. Authority in the church is easy to understand, it defines conservative theologians to reject women pastors. However, any position of authority over a man is implied. Now the word for teach here is Didasko, which used here according to the Mounce Greek dictionary means in this case "to teach or speak in a public assembly, 1 Tim. 2:12."
διδάσκω | billmounce.com
*Thus women are not to teach men in public assembly or to hold authority over them. A public assembly would of course be the gathered Ekklesia, it is a congregation or assembly in literal definition after all.
*However, one thing to notice about didasko is that it is used in the New Testament almost exclusively with the teaching of the Word. The Word uses many words for teach in the new testament but didasko is almost always associated with teaching of the Word. A good case can be made that women can teach other subjects than the Word in public assembly to men. One apologist I follow who is an expert in biblical languages holds to this interpretation.
Another interpretation I have seen is that a woman cannot publicly teach in the church, but could teach men outside of it. The clarification is because Paul tells Timothy in
1 Timothy 3:14-15:
14 I am writing these things to you, hoping to come to you before long; 15 but [k]in case I am delayed, I write so that you will know how [l]one ought to conduct himself in the household of God, which is the church of the living God, the pillar and support of the truth.
Thus, it could be that Paul is actually teaching how to act in the assembly of the saints and not beyond in 1 Timothy 2 and 1 Timothy 3.
*Notice the appeal here for these commands concerning women teaching publicly and having authority over men is to the created order itself. God immediately goes to Adam and Eve. Adam is created first. Additionally, Eve fell for Satan's temptation and then Adam fell for Eve's temptation.
*The last verse, 15, has sparked many a bitter debate. It is difficult compared to the rest of this text, but I will take a crack at it. Notice the things listed for a woman to continue in: (Mounce translates them) faith, love (literally Agape), holiness, and modesty are all things a regenerated woman indwelt with the Holy Spirit will have to begin with. So, assuming women have fruit of the Spirit within them they are assured salvation. Aren't we all like this. As for childbearing, clearly given God's many calls to people to exercise restraint in regards to getting married if they can go without it, this applies only to married women, and infertile women are of course excluded form this command via logic. As to how childbearing is preserving or salvific I don't know. I'll be bluntly honest.