"The words sola gratia mean that human beings have no claim upon God. That is, God owes us nothing except just punishment for our many and very willful sins. Therefore, if he does save sinners, which he does in the case of some but not all, it is only because it pleases him to do it. Indeed, apart from this grace and the regenerating work of the Holy Spirit that flows from it, no one would be saved, since in our lost condition, human beings are not capable of winning, seeking out, or even cooperating with God’s grace. By insisting on ‘grace alone’ the Reformers were denying that human methods, techniques, or strategies in themselves could ever bring anyone to faith. It is grace alone expressed through the supernatural work of the Holy Spirit that brings us to Christ, releasing us from our bondage to sin and raising us from death to spiritual life.: - James Montgomery Boice
"Even so then at this present time also there is a remnant according to the election of grace. And if by grace, then it is no more of works: otherwise grace is no more grace. But if it be of works, then is it no more grace: otherwise work is no more work" (Rom. 11:5, 6). The words "Even so" at the beginning of this quotation refer us to the previous verse where we are told, "I have reserved to Myself seven thousand men who have not bowed the knee to Baal." Note particularly the word "reserved." In the days of Elijah there were seven thousand—a small minority—who were Divinely preserved from idolatry and brought to the knowledge of the true God. This preservation and illumination was not from anything in themselves, but solely by God’s special influence and agency. How highly favored such individuals were to be thus "reserved" by God! Now says the apostle, Just as there was a "remnant" in Elijah’s days "reserved by God", even so there is in this present dispensation.
"A remnant according to the election of grace." Here the cause of election is traced back to its source. The basis upon which God elected this "remnant" was not faith foreseen in them, because a choice founded upon the foresight of good works is just as truly made on the ground of works as any choice can be, and in such a case, it would not be "of grace;" for, says the apostle, "if by grace, then it is no more of works: otherwise grace is no more grace;" which means that grace and works are opposites, they have nothing in common, and will no more mingle than will oil and water. Thus the idea of inherent good foreseen in those chosen, or of anything meritorious performed by them, is rigidly excluded. "A remnant according to the election of grace," signifies an unconditional choice resulting from the sovereign favor of God; in a word, it is absolutely a gratuitous election.
"For ye see your calling, brethren, how that not many wise men after the flesh, not many mighty, not many noble, are called: But God hath chosen the foolish things of the world to confound the wise; and God hath chosen the weak things of the world to confound the things which are mighty: and base things of the world, and things which are despised, hath God chosen, yea, and things which are not, to bring to nought things that are: That no flesh should glory in His presence" (1 Cor. 1:26-29). Three times over in this passage reference is made to God’s choice, and choice necessarily supposes a selection, the taking of some and the leaving of others. The Choser here is God Himself, as said the Lord Jesus to the apostles, "Ye have not chosen Me, but I have chosen you" (John 15:16). The number chosen is strictly defined—"not many wise men after the flesh, not many noble," etc., which agrees with Matthew 20:16, "So the last shall be first, and the first last; for many be called, but few chosen." So much then for the fact of God’s choice; now mark the objects of His choice.
"Who hath saved us, and called us with an holy calling, not according to our works, but according to His own purpose and grace, which was given us in Christ Jesus before the world began" (2 Tim. 1:9). How plain and pointed is the language of Holy Writ! It is man who, by his words, darkeneth counsel. It is impossible to state the case more clearly, or strongly, than it is stated here. Our salvation is not "according to our works;" that is to say, it is not due to anything in us, nor the rewarding of anything from us; instead, it is the result of God’s own "purpose and grace;" and this grace was given us in Christ Jesus before the world began. It is by grace we are saved, and in the purpose of God this grace was bestowed upon us not only before we saw the light, not only before Adam’s fall, but even before that far distant "beginning" of Genesis 1:1. And herein lies the unassailable comfort of God’s people. If His choice has been from eternity it will last to eternity! "Nothing can survive to eternity but what came from eternity, and what has so come, will" (G. S. Bishop).
A.W. Pink from 'the sovereignty of God'